9p^2=576

Solution for 9p^2=576 equation:

9p^2=576

We move all terms to the left:

9p^2-(576)=0

a = 9; b = 0; c = -576;
Δ = b2-4ac
Δ = 02-4·9·(-576)
Δ = 20736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20736}=144$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-144}{2*9}=\frac{-144}{18}
=-8
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144}{2*9}=\frac{144}{18}
=8
$