x^2=30625

Solution for x^2=30625 equation:

x^2=30625

We move all terms to the left:

x^2-(30625)=0

a = 1; b = 0; c = -30625;
Δ = b2-4ac
Δ = 02-4·1·(-30625)
Δ = 122500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{122500}=350$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-350}{2*1}=\frac{-350}{2}
=-175
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+350}{2*1}=\frac{350}{2}
=175
$