2x^2+4x-285=0

Solution for 2x^2+4x-285=0 equation:

2x^2+4x-285=0

a = 2; b = 4; c = -285;
Δ = b2-4ac
Δ = 42-4·2·(-285)
Δ = 2296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2296}=\sqrt{4*574}=\sqrt{4}*\sqrt{574}=2\sqrt{574}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-2\sqrt{574}}{2*2}=\frac{-4-2\sqrt{574}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+2\sqrt{574}}{2*2}=\frac{-4+2\sqrt{574}}{4}
$