y2+2y-164=0

Solution for y2+2y-164=0 equation:

y2+2y-164=0

We add all the numbers together, and all the variables

y^2+2y-164=0

a = 1; b = 2; c = -164;
Δ = b2-4ac
Δ = 22-4·1·(-164)
Δ = 660
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:

$\sqrt{\Delta}=\sqrt{660}=\sqrt{4*165}=\sqrt{4}*\sqrt{165}=2\sqrt{165}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{165}}{2*1}=\frac{-2-2\sqrt{165}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{165}}{2*1}=\frac{-2+2\sqrt{165}}{2}
$