-6=y^2-11y

Solution for -6=y^2-11y equation:

-6=y^2-11y

We move all terms to the left:

-6-(y^2-11y)=0

We get rid of parentheses

-y^2+11y-6=0

We add all the numbers together, and all the variables

-1y^2+11y-6=0

a = -1; b = 11; c = -6;
Δ = b2-4ac
Δ = 112-4·(-1)·(-6)
Δ = 97
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-\sqrt{97}}{2*-1}=\frac{-11-\sqrt{97}}{-2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{97}}{2*-1}=\frac{-11+\sqrt{97}}{-2}
$