74y-y^2-1113=0

Solution for 74y-y^2-1113=0 equation:

74y-y^2-1113=0

We add all the numbers together, and all the variables

-1y^2+74y-1113=0

a = -1; b = 74; c = -1113;
Δ = b2-4ac
Δ = 742-4·(-1)·(-1113)
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(74)-32}{2*-1}=\frac{-106}{-2}
=+53
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(74)+32}{2*-1}=\frac{-42}{-2}
=+21
$