Y=6x^2-726

Solution for Y=6x^2-726 equation:

=6Y^2-726

We move all terms to the left:

-(6Y^2-726)=0

We get rid of parentheses

-6Y^2+726=0

a = -6; b = 0; c = +726;
Δ = b2-4ac
Δ = 02-4·(-6)·726
Δ = 17424
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{17424}=132$
$Y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-132}{2*-6}=\frac{-132}{-12}
=+11
$
$Y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+132}{2*-6}=\frac{132}{-12}
=-11
$