5x^2=2025

Solution for 5x^2=2025 equation:

5x^2=2025

We move all terms to the left:

5x^2-(2025)=0

a = 5; b = 0; c = -2025;
Δ = b2-4ac
Δ = 02-4·5·(-2025)
Δ = 40500
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:

$\sqrt{\Delta}=\sqrt{40500}=\sqrt{8100*5}=\sqrt{8100}*\sqrt{5}=90\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-90\sqrt{5}}{2*5}=\frac{0-90\sqrt{5}}{10}
=-\frac{90\sqrt{5}}{10}
=-9\sqrt{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+90\sqrt{5}}{2*5}=\frac{0+90\sqrt{5}}{10}
=\frac{90\sqrt{5}}{10}
=9\sqrt{5}
$