From a non math guy, I’d challenge this solution. The question read “simplify.” You did many things but, simplify is not a descriptor I would choose. 🤣 finding the square root 5, subtracting 2 and finding the cube root of the result….0.618 is simple. But that’s just me…
This question relates to the reciprocal of the golden ratio. It is constructed so that it simplifies. The presence of Fibonacci numbers 2,3,5 might be a clue to the cognisant. But within complex numbers there would be two real values and four more complex values.
^=read as to the power *=read as square root As per question (*5-2)^(1/3) Let's explain *5 - 2 =8(*5-2)/8 ={8.*5 - 16)/8 ={(5.*5)+(3.*5)-15-1}/8 ={(5.*5)-1-15+(3.*5)}/8 =[(*5)^3 - (1^3)-{3×(*5)^2×1}+{3×*5×(1^2)}]/8 ={(*5-1)^3}/(2^3) ={(*5-1)/2}^3 As per question [{(*5-1)/2}^3]^(1/3) =(*5-1)/2
Because the original expression approximates to a positive value and only a positive value. If your simplification includes a negative then you did something wrong.
What has made your channel and videos get such great views and become so popular? I watched a lot of your videos and you’re perfect in math and explain 👌🏻👌🏻👌🏻
Sorry I’m new to maths but as someone who easily played pool using maths I feel like a lot of explanations are so over the top it’s jarring isn’t the answer 0 or at least very very close to it. I haven’t seen the end of the video I would explain my reasoning but it’s so inherent that it’s hard to care if I have energy I will explain it
Interesting. But this is, of coarse, not a higher math. There enouth the knowledge of middle school to solve that, but as a task with higher complexity. Thnx!
Could you please stop explaining the 3 quadratic formulas every time you use them. You call your channel Higher Mathematics and then you should assume that people watching definitely know them already.
From a non math guy, I’d challenge this solution. The question read “simplify.” You did many things but, simplify is not a descriptor I would choose. 🤣 finding the square root 5, subtracting 2 and finding the cube root of the result….0.618 is simple. But that’s just me…
This question relates to the reciprocal of the golden ratio. It is constructed so that it simplifies. The presence of Fibonacci numbers 2,3,5 might be a clue to the cognisant.
But within complex numbers there would be two real values and four more complex values.
This is brilliant
Excellent. Thank You
^=read as to the power
*=read as square root
As per question
(*5-2)^(1/3)
Let's explain
*5 - 2
=8(*5-2)/8
={8.*5 - 16)/8
={(5.*5)+(3.*5)-15-1}/8
={(5.*5)-1-15+(3.*5)}/8
=[(*5)^3 - (1^3)-{3×(*5)^2×1}+{3×*5×(1^2)}]/8
={(*5-1)^3}/(2^3)
={(*5-1)/2}^3
As per question
[{(*5-1)/2}^3]^(1/3)
=(*5-1)/2
That was truly brilliant.
(5^1/2-2)^1/3=a5^1/2-a
5^1/2-2=(a51/2-a)^3=(8a^3)5^1/2-16a^3 then 8a^3=1 and -16a^3=-2
result. a=1/2
answer 1/25^1/2-1/2
For an easy reference, what is the name of this method? How can I find it or refer to it?
S. Ferro-N. Tartaglia-J. Cardano's method.
Why reject negative solutions?
A Negative cube root of a negative number is perfectly reasonable.
I believe negative solutions are rejected because sqrt(5) - 2 is a positive number, therefore cbrt((sqrt(5))-2) will be positive.
answer is greater than 0 , -1-root5/2 is negative
Because the original expression approximates to a positive value and only a positive value. If your simplification includes a negative then you did something wrong.
1) He said in the beginning that cbrt(sqrt(5)-2) is greater than 0
2) If you simplify a number you can't get 2 different values it makes no sense
Thank you 👌🏻👌🏻👌🏻👌🏻
x^3 25 ➖ (3)^2=x^3{ 25 ➖ 9}={x^3* 16}=16x^3 2^4x^3 2^2^2x^3 1^1^2x^3 2x^3 (x ➖ 3x+2).
What has made your channel and videos get such great views and become so popular?
I watched a lot of your videos and you’re perfect in math and explain 👌🏻👌🏻👌🏻
at 10.49 why not 3t ?
Sorry I’m new to maths but as someone who easily played pool using maths I feel like a lot of explanations are so over the top it’s jarring isn’t the answer 0 or at least very very close to it. I haven’t seen the end of the video I would explain my reasoning but it’s so inherent that it’s hard to care if I have energy I will explain it
Tks...
Thanks
0,5V5-0,5.
Engineer says 0.62
Interesting. But this is, of coarse, not a higher math. There enouth the knowledge of middle school to solve that, but as a task with higher complexity.
Thnx!
th th th th th :D
Could you please stop explaining the 3 quadratic formulas every time you use them. You call your channel Higher Mathematics and then you should assume that people watching definitely know them already.