Y=64x^2-36

Solution for Y=64x^2-36 equation:

=64Y^2-36

We move all terms to the left:

-(64Y^2-36)=0

We get rid of parentheses

-64Y^2+36=0

a = -64; b = 0; c = +36;
Δ = b2-4ac
Δ = 02-4·(-64)·36
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-96}{2*-64}=\frac{-96}{-128}
=3/4
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+96}{2*-64}=\frac{96}{-128}
=-3/4
$