11c(c=11)

Solution for 11c(c=11) equation:

11c(c=11)

We move all terms to the left:

11c(c-(11))=0

We multiply parentheses

11c^2-121c=0

a = 11; b = -121; c = 0;
Δ = b2-4ac
Δ = -1212-4·11·0
Δ = 14641
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14641}=121$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-121)-121}{2*11}=\frac{0}{22}
=0
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-121)+121}{2*11}=\frac{242}{22}
=11
$