*Missing Points* Kxh aisi bhi situations ha jisme equation given ho aur ham srf + ya - root consider krte ha why ? Bcoz may be 1) x represents length of side of any geometric shape ( jo ke negative nahe hoskti) 2) sawal ma bata diya gaya ho ke x positive real number ha ya negative real number so ham uske according answer + ya - consider kren ge etc
No. There is a difference between solving a quadratic equation and finding a square root. A quadratic equation usually has two solutions (if the solution is not zero), namely a negative solution and a positive solution. The result of a square root is always nonnegative (positive or zero). More precisely: it is an absolute number. The definition is: √(x²) = |x| with x ∈ ℝ Therefore a quadratic equation like x² = 4 is solved like this: x² = 4 | √ |x| = 2 x₁= 2 x₂ = -2 The consideration here is: what can stand between the bars if the result is 2. The answer is 2 or -2. Because |2| = 2 |-2| = 2 Best regards Marcus 😎
"x squared equals 4" is a polynomial equation and is solved by re-writing as "x squared minus 4 equals 0" and then solving by normal polynomial equation methods. Simply putting a square root symbol in front of each side of the equation and then slipping a little "plus minus" symbol in front of the value is not a legitimate way of solving the equation.
Dear @@consod, of course, x² = 4 is a quadratic equation. There are different ways to solve this equation. Apart from the pq formula, the abc formula and completing the square, there are, for example, the following three possibilities: Possibility A x² = 4 | -4 x² - 4 = 0 x² - 2² = 0 (x - 2) ‧ (x +2) = 0 Case 1 x - 2 = 0 | +2 x₁ = 2 Case 2 x + 2 = 0 | -2 x₂ = -2 Possibility B x² = 4 | √ |x| = 2 x₁ = 2 x₂ = -2 Possibility C x² = 4 x = ±√(4) x₁ = 2 x₂ = -2 However, the following is incorrect: --- WRONG --- x² = 4 x = √(4) x₁ = 2 x₂ = -2 --- WRONG --- This is wrong because the result of a positive principal square root is always positive or zero. More precisely: the result is an absolute number. Definition: √(x²) = |x| That’s the point I was trying to make. The result of a principal square root is always unique. If the principal square root is positive (√), the result is positive or zero. With a negative principal square root (-√), the result is always negative or zero. The square root function y = √(x) is *not* the inversion of the function for the normal parabola y = x². It is only the positive part of this inversion (including zero). The negative part (including zero) is represented by the function y = -√(x). However, the video claims that the following would apply: --- WRONG --- √(x²) = ±x --- WRONG --- But that is incorrect. That’s why I objected. Best regards Marcus 😎
Now I watched the video again. I think I have to apologize. The video doesn’t say what I thought it said. I thought the video made the following claim: --- WRONG --- √(x) = ±x --- WRONG --- But that’s not correct. The reason I thought that is said in the video is because of two things: First because of an extremely misleading video title and second because of a difference between German and English terminology that I didn’t know at the time of my first comment. I come from Germany. What is called principal square root in English is simply called “Quadratwurzel” (square root) in German, without anything like the English “principal” in front of it. In German we don’t talk about the “roots” of a quadratic equation, but only about their “Lösungen” (solutions). In German, the term square root means *exclusively* what is called principal square root in English. I read the title of the video with this understanding of the term “square root”. And therefore, just based on the video title, I contradicted. In the video itself, however, things are presented correctly in English terminology. So I have to apologize. Best regards Marcus 😎
@@marcusgloder8755 Your maths skills are incredible, you can be a good teacher. Your explanations are perfect I am from India I study in 9th standard, in my class only 3 to 4 students have this much understanding of maths and other students just keep on roting the textbook
Please make a part 2 of this video including the concept of mod x 🙏. Also mention the whole concept of this video in that too. Eagerly waiting for your video ❤
Sir please muje ek baar samjha dijiye Modulus use karne pe |k| , ±k milta hai So agar k positive hai to hame positive value he Lena hai But agar k negative hai -(-) ho jayega aur eventually hame positive he milega So ham Aisa kyun kehte hai ki x ke two solutions hai jabki end mein Jake hame ek he solution milta hai
Thank you so much sir 😊..I have observed that there are majorly indian and pakistani teachers who have the solution of every doubt... Love from India 😊
I disagree with you. This notation of square root is just the positive square root of a number. By definition we have: V(x²) = |x| So when we have a equation of this type: x² = 4 V(x²) = V4 As V(x²) = |x| and V4 = 2 We have: |x| = 2 solving this equation: x = 2 or -2 But that doesn't mean the square root had two roots. The two values came from the modular equation.
Sir Mera ye bauth dinon se doubt hai - If a^2=b^2 then we write a=b but,.....in (2-3)^2= (3-2)^2 we can't write 2-3=3-2 so why we write a=b in a lot of physics and mathematics numerical where a^2 is given equal to b^2?????
-√2 = -1,141... √-2 = 2i; -2i. i is made up number because of there is no number, which give us multiplying on the same number √-2. I dont know, but at school we have been told like √-2 = √2 and the difference in -√2 that's the minus nowhere vanish because it's in the back of root
Kxh aisi bhi situations ha jisme equation given ho aur ham srf + ya - root consider krte ha why ? Bcoz may be 1) x represents length of side of any geometric shape ( jo ke negative nahe hoskti) 2) sawal ma bata diya gaya ho ke x positive real number ha ya negative real number so ham uske according answer + ya - consider kren ge etc
Ahahahahahhahahahhahahahahhahaha explaination achi he lekin confusion khud wahe chorr ke bag gaye hahahahahahahaha keh rahe he yaha lena parrega awr waha keh rahe nahe lena hahaha
*Missing Points*
Kxh aisi bhi situations ha jisme equation given ho aur ham srf + ya - root consider krte ha why ? Bcoz may be
1) x represents length of side of any geometric shape ( jo ke negative nahe hoskti)
2) sawal ma bata diya gaya ho ke x positive real number ha ya negative real number so ham uske according answer + ya - consider kren ge
etc
jai shree ram
Sir you,re taking your channel in this amazing direction... not only teaching what comes in exams but also what gives us essential knowledge !!
No. There is a difference between solving a quadratic equation and finding a square root. A quadratic equation usually has two solutions (if the solution is not zero), namely a negative solution and a positive solution.
The result of a square root is always nonnegative (positive or zero). More precisely: it is an absolute number. The definition is:
√(x²) = |x| with x ∈ ℝ
Therefore a quadratic equation like x² = 4 is solved like this:
x² = 4 | √
|x| = 2
x₁= 2
x₂ = -2
The consideration here is: what can stand between the bars if the result is 2. The answer is 2 or -2. Because
|2| = 2
|-2| = 2
Best regards
Marcus 😎
"x squared equals 4" is a polynomial equation and is solved by re-writing as "x squared minus 4 equals 0" and then solving by normal polynomial equation methods. Simply putting a square root symbol in front of each side of the equation and then slipping a little "plus minus" symbol in front of the value is not a legitimate way of solving the equation.
Dear @@consod,
of course, x² = 4 is a quadratic equation. There are different ways to solve this equation. Apart from the pq formula, the abc formula and completing the square, there are, for example, the following three possibilities:
Possibility A
x² = 4 | -4
x² - 4 = 0
x² - 2² = 0
(x - 2) ‧ (x +2) = 0
Case 1
x - 2 = 0 | +2
x₁ = 2
Case 2
x + 2 = 0 | -2
x₂ = -2
Possibility B
x² = 4 | √
|x| = 2
x₁ = 2
x₂ = -2
Possibility C
x² = 4
x = ±√(4)
x₁ = 2
x₂ = -2
However, the following is incorrect:
--- WRONG ---
x² = 4
x = √(4)
x₁ = 2
x₂ = -2
--- WRONG ---
This is wrong because the result of a positive principal square root is always positive or zero. More precisely: the result is an absolute number. Definition:
√(x²) = |x|
That’s the point I was trying to make. The result of a principal square root is always unique. If the principal square root is positive (√), the result is positive or zero. With a negative principal square root (-√), the result is always negative or zero. The square root function y = √(x) is *not* the inversion of the function for the normal parabola y = x². It is only the positive part of this inversion (including zero). The negative part (including zero) is represented by the function y = -√(x).
However, the video claims that the following would apply:
--- WRONG ---
√(x²) = ±x
--- WRONG ---
But that is incorrect. That’s why I objected.
Best regards
Marcus 😎
Now I watched the video again. I think I have to apologize. The video doesn’t say what I thought it said. I thought the video made the following claim:
--- WRONG ---
√(x) = ±x
--- WRONG ---
But that’s not correct. The reason I thought that is said in the video is because of two things:
First because of an extremely misleading video title and second because of a difference between German and English terminology that I didn’t know at the time of my first comment.
I come from Germany. What is called principal square root in English is simply called “Quadratwurzel” (square root) in German, without anything like the English “principal” in front of it. In German we don’t talk about the “roots” of a quadratic equation, but only about their “Lösungen” (solutions). In German, the term square root means *exclusively* what is called principal square root in English. I read the title of the video with this understanding of the term “square root”. And therefore, just based on the video title, I contradicted.
In the video itself, however, things are presented correctly in English terminology. So I have to apologize.
Best regards
Marcus 😎
@@marcusgloder8755 Your maths skills are incredible, you can be a good teacher. Your explanations are perfect I am from India I study in 9th standard, in my class only 3 to 4 students have this much understanding of maths and other students just keep on roting the textbook
@@marcusgloder8755 Hi are you on tinder?
Best teacher, I had not ever seen in my student career ♥️
Please make a part 2 of this video including the concept of mod x 🙏. Also mention the whole concept of this video in that too. Eagerly waiting for your video ❤
This concept is really helpful
Delight teaching. Loved it 😊❤
What a video ! Excellent ❤️💯
Nice sir apki videos bhot achi hoti hai
Sir please muje ek baar samjha dijiye
Modulus use karne pe |k| , ±k milta hai
So agar k positive hai to hame positive value he Lena hai
But agar k negative hai -(-) ho jayega aur eventually hame positive he milega
So ham Aisa kyun kehte hai ki x ke two solutions hai jabki end mein Jake hame ek he solution milta hai
Thank you for your support sir ji ❤🎉😊
Create preparation timetable for maths board exam
Excellent teacher!
thankyou sir i am currently in class 11 and was studying relations and fuctions...... really helped a lot
Very, very Thank you😍 for this doubt😱🤩
Thank you bhaiya, cristal clear explanation. Loved it.
Thank you so much sir 😊..I have observed that there are majorly indian and pakistani teachers who have the solution of every doubt...
Love from India 😊
Thankyou sir
You cleared a big doubt of mine which I had ........
Thankyou sir 😆
Mashallah sir Allah ap ko salamat rakhe
Such a great teacher...❤
Amazing video 😍
Thank you so much sir for this video ❤
Great explained
Masha Allah Great 👍❤️❤️
Great teacher
Thank You Sir !!! Keep making these types of videos !!
Very very thank you sir🙏🙏
Thank you bro 😊
Sir ap please 8 chapter ki exercise 8.4 and 8.5 slove karwadein
Thankyou very muchhh sir whatttt a explanation sorry best explanation 😂. Bahut bahut dhanyawad sir ♥️
Sir ye sabhi concept theek hai mujhe wo sare book bataiye taki hm dusro ko proof kr sakte hai
Thanks Sir❤
I disagree with you.
This notation of square root is just the positive square root of a number.
By definition we have:
V(x²) = |x|
So when we have a equation of this type:
x² = 4
V(x²) = V4
As V(x²) = |x| and V4 = 2
We have:
|x| = 2
solving this equation:
x = 2 or -2
But that doesn't mean the square root had two roots. The two values came from the modular equation.
Bro your method of solving equations is wrong.😂
Saad bhai ye thumbnail nft market mai 1M dollar ka bik jai ga inshallah😂😂👍🏻👍🏻
Sir please mathematics XI class M'C'Q'S per details video send kardy
Sir Mera ye bauth dinon se doubt hai -
If a^2=b^2 then we write a=b but,.....in
(2-3)^2= (3-2)^2 we can't write 2-3=3-2 so why we write a=b in a lot of physics and mathematics numerical where a^2 is given equal to b^2?????
sir 2nd year ky mathematics ky important questions upload kir dy please
CRYSTAL CLEAR HO GYA BHAIYA
Is principal square root same as sq root function?
Excellent
👍🏻👍🏻
Why will root of x square not be + or - x sir?
I mean if x²=4
Then + or - x = + or - 2
Is this correct sir
Sir kisi bhi value ka suqare kese nikaleen
Level sir
Sir ,what is the difference between √-2 and -√2 ....i am confused 😢😢
-√2 = -1,141... √-2 = 2i; -2i. i is made up number because of there is no number, which give us multiplying on the same number √-2. I dont know, but at school we have been told like √-2 = √2 and the difference in -√2 that's the minus nowhere vanish because it's in the back of root
❤❤
Thumbnail 🖤🖤🖤💥
X^2 = (-4)
X = +- 2i
Assalamualaikum
Sir The question is ke kab plus minus nahi lagana
Hum ne note kia he ke kabi kabar plus minus nahi lagate
Kxh aisi bhi situations ha jisme equation given ho aur ham srf + ya - root consider krte ha why ? Bcoz may be
1) x represents length of side of any geometric shape ( jo ke negative nahe hoskti)
2) sawal ma bata diya gaya ho ke x positive real number ha ya negative real number so ham uske according answer + ya - consider kren ge
etc
@@SaadLatif Oo Shukriya Sir G🖤
jai shree Ram ❤❤❤
Sir plz muja koi trick batayn k ma 6 chapter sahi h samaj lu muj sa data b ni sahi Banta 😔
Sir √-4 ki value kya hogi 😢😢😢
Not defined
2i
Sary Paisay Thumbnail ky hain 👍😂
Ahahahahahhahahahhahahahahhahaha explaination achi he lekin confusion khud wahe chorr ke bag gaye hahahahahahahaha keh rahe he yaha lena parrega awr waha keh rahe nahe lena hahaha
ENGLISH, please :(
you speak so fast
Bro i watched in 1.5 x😂