5p^2=810

Solution for 5p^2=810 equation:

5p^2=810

We move all terms to the left:

5p^2-(810)=0

a = 5; b = 0; c = -810;
Δ = b2-4ac
Δ = 02-4·5·(-810)
Δ = 16200
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{16200}=\sqrt{8100*2}=\sqrt{8100}*\sqrt{2}=90\sqrt{2}$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-90\sqrt{2}}{2*5}=\frac{0-90\sqrt{2}}{10}
=-\frac{90\sqrt{2}}{10}
=-9\sqrt{2}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+90\sqrt{2}}{2*5}=\frac{0+90\sqrt{2}}{10}
=\frac{90\sqrt{2}}{10}
=9\sqrt{2}
$