y2-111y+108=0

Solution for y2-111y+108=0 equation:

y2-111y+108=0

We add all the numbers together, and all the variables

y^2-111y+108=0

a = 1; b = -111; c = +108;
Δ = b2-4ac
Δ = -1112-4·1·108
Δ = 11889
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{11889}=\sqrt{9*1321}=\sqrt{9}*\sqrt{1321}=3\sqrt{1321}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-111)-3\sqrt{1321}}{2*1}=\frac{111-3\sqrt{1321}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-111)+3\sqrt{1321}}{2*1}=\frac{111+3\sqrt{1321}}{2}
$