y^2+100y-1344=0

Solution for y^2+100y-1344=0 equation:

y^2+100y-1344=0

a = 1; b = 100; c = -1344;
Δ = b2-4ac
Δ = 1002-4·1·(-1344)
Δ = 15376
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{15376}=124$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(100)-124}{2*1}=\frac{-224}{2}
=-112
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(100)+124}{2*1}=\frac{24}{2}
=12
$