5x2=1225

Solution for 5x2=1225 equation:

5x^2=1225

We move all terms to the left:

5x^2-(1225)=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}
=-7\sqrt{5}
$
$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}
=7\sqrt{5}
$