y^2+5y-1113=0

Solution for y^2+5y-1113=0 equation:

y^2+5y-1113=0

a = 1; b = 5; c = -1113;
Δ = b2-4ac
Δ = 52-4·1·(-1113)
Δ = 4477
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:

$\sqrt{\Delta}=\sqrt{4477}=\sqrt{121*37}=\sqrt{121}*\sqrt{37}=11\sqrt{37}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-11\sqrt{37}}{2*1}=\frac{-5-11\sqrt{37}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+11\sqrt{37}}{2*1}=\frac{-5+11\sqrt{37}}{2}
$