1225=5x^2

Solution for 1225=5x^2 equation:

1225=5x^2

We move all terms to the left:

1225-(5x^2)=0

a = -5; b = 0; c = +1225;
Δ = b2-4ac
Δ = 02-4·(-5)·1225
Δ = 24500
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:

$\sqrt{\Delta}=\sqrt{24500}=\sqrt{4900*5}=\sqrt{4900}*\sqrt{5}=70\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-70\sqrt{5}}{2*-5}=\frac{0-70\sqrt{5}}{-10}
=-\frac{70\sqrt{5}}{-10}
=-\frac{7\sqrt{5}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+70\sqrt{5}}{2*-5}=\frac{0+70\sqrt{5}}{-10}
=\frac{70\sqrt{5}}{-10}
=\frac{7\sqrt{5}}{-1}
$