7x^2=576

Solution for 7x^2=576 equation:

7x^2=576

We move all terms to the left:

7x^2-(576)=0

a = 7; b = 0; c = -576;
Δ = b2-4ac
Δ = 02-4·7·(-576)
Δ = 16128
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{16128}=\sqrt{2304*7}=\sqrt{2304}*\sqrt{7}=48\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48\sqrt{7}}{2*7}=\frac{0-48\sqrt{7}}{14}
=-\frac{48\sqrt{7}}{14}
=-\frac{24\sqrt{7}}{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48\sqrt{7}}{2*7}=\frac{0+48\sqrt{7}}{14}
=\frac{48\sqrt{7}}{14}
=\frac{24\sqrt{7}}{7}
$