4x^2-24x-356=0

Solution for 4x^2-24x-356=0 equation:

4x^2-24x-356=0

a = 4; b = -24; c = -356;
Δ = b2-4ac
Δ = -242-4·4·(-356)
Δ = 6272
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:

$\sqrt{\Delta}=\sqrt{6272}=\sqrt{3136*2}=\sqrt{3136}*\sqrt{2}=56\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-56\sqrt{2}}{2*4}=\frac{24-56\sqrt{2}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+56\sqrt{2}}{2*4}=\frac{24+56\sqrt{2}}{8}
$