s(11-s)=24-

Solution for s(11-s)=24- equation:

s(11-s)=24-

We move all terms to the left:

s(11-s)-(24-)=0

We add all the numbers together, and all the variables

s(-1s+11)-0=0

We add all the numbers together, and all the variables

s(-1s+11)=0

We multiply parentheses

-1s^2+11s=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:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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