5p2=315

Solution for 5p2=315 equation:

5p^2=315

We move all terms to the left:

5p^2-(315)=0

a = 5; b = 0; c = -315;
Δ = b2-4ac
Δ = 02-4·5·(-315)
Δ = 6300
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:

$\sqrt{\Delta}=\sqrt{6300}=\sqrt{900*7}=\sqrt{900}*\sqrt{7}=30\sqrt{7}$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-30\sqrt{7}}{2*5}=\frac{0-30\sqrt{7}}{10}
=-\frac{30\sqrt{7}}{10}
=-3\sqrt{7}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+30\sqrt{7}}{2*5}=\frac{0+30\sqrt{7}}{10}
=\frac{30\sqrt{7}}{10}
=3\sqrt{7}
$