5x^2-576=0

Solution for 5x^2-576=0 equation:

5x^2-576=0

a = 5; b = 0; c = -576;
Δ = b2-4ac
Δ = 02-4·5·(-576)
Δ = 11520
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:

$\sqrt{\Delta}=\sqrt{11520}=\sqrt{2304*5}=\sqrt{2304}*\sqrt{5}=48\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48\sqrt{5}}{2*5}=\frac{0-48\sqrt{5}}{10}
=-\frac{48\sqrt{5}}{10}
=-\frac{24\sqrt{5}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48\sqrt{5}}{2*5}=\frac{0+48\sqrt{5}}{10}
=\frac{48\sqrt{5}}{10}
=\frac{24\sqrt{5}}{5}
$