5x^2=15625

Solution for 5x^2=15625 equation:

5x^2=15625

We move all terms to the left:

5x^2-(15625)=0

a = 5; b = 0; c = -15625;
Δ = b2-4ac
Δ = 02-4·5·(-15625)
Δ = 312500
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:

$\sqrt{\Delta}=\sqrt{312500}=\sqrt{62500*5}=\sqrt{62500}*\sqrt{5}=250\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-250\sqrt{5}}{2*5}=\frac{0-250\sqrt{5}}{10}
=-\frac{250\sqrt{5}}{10}
=-25\sqrt{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+250\sqrt{5}}{2*5}=\frac{0+250\sqrt{5}}{10}
=\frac{250\sqrt{5}}{10}
=25\sqrt{5}
$