(x)=x^2-576

Solution for (x)=x^2-576 equation:

(x)=x^2-576

We move all terms to the left:

(x)-(x^2-576)=0

We get rid of parentheses

-x^2+x+576=0

We add all the numbers together, and all the variables

-1x^2+x+576=0

a = -1; b = 1; c = +576;
Δ = b2-4ac
Δ = 12-4·(-1)·576
Δ = 2305
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{2305}}{2*-1}=\frac{-1-\sqrt{2305}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{2305}}{2*-1}=\frac{-1+\sqrt{2305}}{-2}
$