11p^2-6000p-32500=0

Solution for 11p^2-6000p-32500=0 equation:

11p^2-6000p-32500=0

a = 11; b = -6000; c = -32500;
Δ = b2-4ac
Δ = -60002-4·11·(-32500)
Δ = 37430000
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:

$\sqrt{\Delta}=\sqrt{37430000}=\sqrt{10000*3743}=\sqrt{10000}*\sqrt{3743}=100\sqrt{3743}$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6000)-100\sqrt{3743}}{2*11}=\frac{6000-100\sqrt{3743}}{22}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6000)+100\sqrt{3743}}{2*11}=\frac{6000+100\sqrt{3743}}{22}
$