11p^2=p

Solution for 11p^2=p equation:

11p^2=p

We move all terms to the left:

11p^2-(p)=0

We add all the numbers together, and all the variables

11p^2-1p=0

a = 11; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·11·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*11}=\frac{0}{22}
=0
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*11}=\frac{2}{22}
=1/11
$