Quadratic formula for non-constant coefficients @blackpenredpen

Uploaded June 2024 | Updated September 2026, 2 weeks ago

I was driving back home and wondered if the quadratic formula still works if a, b, c are not constants? In fact, what if a, b, and c are functions of x?
Newton's method (introduction & example) youtu.be/iVOsU4tnouk

0:00 Quadratic formula for nonconstant coefficients
2:30 Creating x^2+(sin(x))x-1/2*cos(x)=0
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Quadratic formula for non-constant coefficients

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A non-real way of solving Fresnels integrals (but I am not sure if its legit)

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Can we do a direct substitution between these two integrals?

I couldnt solve x^x^x=2, so I solved x^x^(x+1)=2 instead

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Quadratic formula for non-constant coefficients