2w^2+4w-616=0

Solution for 2w^2+4w-616=0 equation:

2w^2+4w-616=0

a = 2; b = 4; c = -616;
Δ = b2-4ac
Δ = 42-4·2·(-616)
Δ = 4944
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{4944}=\sqrt{16*309}=\sqrt{16}*\sqrt{309}=4\sqrt{309}$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4\sqrt{309}}{2*2}=\frac{-4-4\sqrt{309}}{4}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4\sqrt{309}}{2*2}=\frac{-4+4\sqrt{309}}{4}
$