4x^2+308x-360=0

Solution for 4x^2+308x-360=0 equation:

4x^2+308x-360=0

a = 4; b = 308; c = -360;
Δ = b2-4ac
Δ = 3082-4·4·(-360)
Δ = 100624
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:

$\sqrt{\Delta}=\sqrt{100624}=\sqrt{16*6289}=\sqrt{16}*\sqrt{6289}=4\sqrt{6289}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(308)-4\sqrt{6289}}{2*4}=\frac{-308-4\sqrt{6289}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(308)+4\sqrt{6289}}{2*4}=\frac{-308+4\sqrt{6289}}{8}
$