100p^2-144p=0

Solution for 100p^2-144p=0 equation:

100p^2-144p=0

a = 100; b = -144; c = 0;
Δ = b2-4ac
Δ = -1442-4·100·0
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{-(-144)-144}{2*100}=\frac{0}{200}
=0
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-144)+144}{2*100}=\frac{288}{200}
=1+11/25
$