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i have a suggestion that you can try to make the length of video short, many of the viewers of maths are not majoring or are actually studying maths (i am a bio student personally but have interest in maths). try to make it at most at 5 min with using the explanation of a level of a 10th standard student. love your smile btw

Smart solution

Smart solution

An understandable explanation. Thank you 😊

Mi hija y mi persona estamos muy agradecidos por compartir la buena y didáctica explicación 😊😊. No conocíamos este sistema de ecuaciones con exponentes cúbicos y cuadrados, realmente muy interesante.😊😊❤❤😊😊.

Impressive we could have also approached it this way too. Note that from the step 5y = 10x we deduce that y = 2x and from the knowledge of (x+y)^2 = x^2+2xy+y^2 we can deduce that (x^2+y^2)/2xy = (x+y)^2/ 2xy - 1 hence if we sub in y=2x we get the same solution

Muy interesante video sobre ecuaciones exponenciales, muchas gracias por compartir tan buena explicación. 😊❤😊.

Very well explained. Thanks.

Very well explained.

Well Done Nonny!!!!

X,2×+5=8[n3]

The solution {x=1,y=1} is of course easy to see. For the other of your solutions you used good tricks. I have one problem: MATHEMATICA gives 9 solution pairs, including complex ones.By the way: a different way to start is to divide the two equations ,leading to a third order equation for u = x/y .Since u=1 is a solution one can then apply polynomial division to get a quadratic equation for u. Of course you need more work to get from u back to x and y.You get equations of the form x^3*(1+9u) =10 and y^3*(1+u) =2 ,where u is a solution determined before.Both equations have one real and two complex solutions.

Please,why can't you say that sin90-2x is equal to cos2x.

Just subscribed

Great content my fellow Mathematician ❤

cos(2x) = 2(cosx)^2 - 1 = 2(1 - (sinx)^2) - 1 = 1 - 2(sinx)^2 3cos(2x) = 3 - 6(sinx)^2 = sinx - 2 6(sinx)^2 + sinx - 5 = 0 (sinx + 1)(6sinx - 5) = 0 sinx = -1 or 5/6 x = 3π/2 + 2πn = π(2n + 3/2) or x = arcsin(5/6) + 2πn

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x(x + y + z) = 8 y (x + y + z) = -12 z (x + y + z) = 30 x : y : z = 4 : -6 : 15 x = 4a 4a(13a) = 8 a = √(2/13) = (√26)/13 x = 4(√26)/13, y = -6(√26)/13, z = 15(√26)/13

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Interesting problem!

Thanks for this problem. It proved useful. My question is couldn't the final answer be further broken down, rather than using a calculator.

great explanation ssir

Wow! Thank you! 🎉

Wow beautiful

There's a prize for the first three people who answer the question at the end correctly.

That was a great explanation keep up the good work!!

Thanks for watching. What are your thoughts about the video? Leave a comment. 00:00 - Introduction 01:17 - Example 1: y = (2x + 3)⁵ 02:53 - Example 2: y = 1 / √(3 - 2x) 05:59 - Example 3: y = (3x³ - 5x)⁻³ 07:46 - Example 4: y = (x² - 3x)⁻³/₄ 10:34 - Some Standard Derivatives 11:42 - Example 5: y = 3sin(4 - 5x) 13:10 - Example 6: y = cos³x 14:41 - Example 7: y = tan(x² - 3) 15:57 - Example 8: y = ln(3x²) 17:24 - Example 9: y = 6e^(x² - 2)

Nice work! Well done.

Nice

This is awesome .. brought back memories

❤❤❤❤❤👍👍👍👍

The best maths uncle

How I wish you were my maths teacher when I was in this level😢 Chai......see breaking dow nah.....

You're doing great sir ❤ Keep growing..

Good morning sir, sir Please make a video of this question 16×10^4÷{3×10^-2) thanks.

Whenever you can add, run away from subtraction. 😂

Mathematics though... I never liked this in school then .. See how broken down this is... Kudos to you... 💯

Thanks for watching. Subscribe or don't. 🙂 00:00 - Example 1: 3x² - 4y = -1 and 2x - y = 1 06:45 - Example 2: 2x² + y² = 19 and x + 3y = 0 09:42 - Example 3: xy + 3x = 3 and 3x + y = 7 13:53 - Example 4: 3x + y = 25 and xy = 8 17:45 - Example 5: 2x - 5y = 7 and xy = 6 22:40 - Example 6: x² - y² = 27 and x + y = 3 25:48 - Example 7: 4x² - y² = 15 and 2x - y = 5

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Thanks for watching. Subscribe and turn on notifications if you enjoy such videos. 00:00 - Introduction 00:15 - Question 1: 2x-y=8 and 3x+y=17 - Solved with Elimination method, Substitution method and Cramer's rule. 10:44 - Question 3: a+2b=13 and 2a-3b=5 - Solved with Elimination method and Cramer's Rule. 17:02 - Question 5: 4x+6y=21 and 7x-3y=3 - Solved with Substitution method and Cramer's Rule. 24:15 - Question 9: 5x-19=2y and 3y+18=4x - Solved with Elimination method and Cramer's Rule.

Cramer's rule is complex, I prefer elimination

Well done, I tried initially but I didn't get it

🎉🎉🎉🎉🎉

❤❤❤🎉🎉

FOLOSEȘTI SEMNUL EGAL = IN MOD IRESPONSABIL!

Well explained I ❤️ ur teaching👍👍👍

Very well explained. Thanks.

Subscribed ❤ my fellow Mathematician

Nice work.