An Interesting Functional Equation

[@MrGeorge1896]

When you realize that the RHS is equal to (2x² + x)² the solution becomes very obvious.

[@ShortsOfSyber]

🤫😄

[@MahB-g1f]

Cooool🤩😍

[@Fire_Axus]

the function is (128x^2-xsqrt(32x+1)+sqrt(32x+1))/8

[@RajAgarwal-pg7kn]

Good to hear voice back....❤❤❤

[@ShortsOfSyber]

Thank you! 😍

[@SidneiMV]

f(x²/2 + x/4) = (2x² + x)² = [4(x²/2 + x/4)]²
*f(x) = 16x²*

[@innovbrain]

I used the second method after realizing the first one is mathematical war 😅❤

[@fatih3806]

What about the function where it outputs 16x^2 as long as x isn’t -100000, and outputs -69 when you input -1000000? x^2/2+x/4 can never be -100000 since its smallest value is -0,03125. I think that function would also work with the requirement

[@ShortsOfSyber]

@@fatih3806 does that work? Bilemedim hocam

[@fatih3806]

@@ShortsOfSyber aa hocam Türk müydünüz? Your videos are amazing by the way

[@RashmiRay-c1y]

The RHS = (2x^2+x)^2 = 16(x^2/2+x/4)^2. Thus, f(x) = 16x^2.

[@broytingaravsol]

a very easy one

[@phill3986]

👍😎👍😎👍

[@cycklist]

It's zed! Zed! Not bloody 'zee'. Whose language is it??

[@mediarblx_npc]

RULE BRITANNIA! BRITANNIA RULE THE WAVES! BRITONS NEVER, NEVER, NEVER SHALL BE SLAVES!

[@VenThusiaist]

very funny 👍

[@ShortsOfSyber]

@@cycklist Zed is a person not a letter! 🤓

[@hunterofinnovation007]

boring boring ++++