y^2-18y-1363=0

Solution for y^2-18y-1363=0 equation:

y^2-18y-1363=0

a = 1; b = -18; c = -1363;
Δ = b2-4ac
Δ = -182-4·1·(-1363)
Δ = 5776
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5776}=76$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-76}{2*1}=\frac{-58}{2}
=-29
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+76}{2*1}=\frac{94}{2}
=47
$