5x^2-56x-132=0

Solution for 5x^2-56x-132=0 equation:

5x^2-56x-132=0

a = 5; b = -56; c = -132;
Δ = b2-4ac
Δ = -562-4·5·(-132)
Δ = 5776
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5776}=76$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-56)-76}{2*5}=\frac{-20}{10}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-56)+76}{2*5}=\frac{132}{10}
=13+1/5
$