Y=8x^2-288

Solution for Y=8x^2-288 equation:

=8Y^2-288

We move all terms to the left:

-(8Y^2-288)=0

We get rid of parentheses

-8Y^2+288=0

a = -8; b = 0; c = +288;
Δ = b2-4ac
Δ = 02-4·(-8)·288
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*-8}=\frac{-96}{-16}
=+6
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+96}{2*-8}=\frac{96}{-16}
=-6
$