5x2-56x-16=0

Solution for 5x2-56x-16=0 equation:

5x^2-56x-16=0

a = 5; b = -56; c = -16;
Δ = b2-4ac
Δ = -562-4·5·(-16)
Δ = 3456
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:

$\sqrt{\Delta}=\sqrt{3456}=\sqrt{576*6}=\sqrt{576}*\sqrt{6}=24\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-56)-24\sqrt{6}}{2*5}=\frac{56-24\sqrt{6}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-56)+24\sqrt{6}}{2*5}=\frac{56+24\sqrt{6}}{10}
$