0=n^2-11n

Solution for 0=n^2-11n equation:

0=n^2-11n

We move all terms to the left:

0-(n^2-11n)=0

We add all the numbers together, and all the variables

-(n^2-11n)=0

We get rid of parentheses

-n^2+11n=0

We add all the numbers together, and all the variables

-1n^2+11n=0

a = -1; b = 11; c = 0;
Δ = b2-4ac
Δ = 112-4·(-1)·0
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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