72x^2-36x-8=0

Solution for 72x^2-36x-8=0 equation:

72x^2-36x-8=0

a = 72; b = -36; c = -8;
Δ = b2-4ac
Δ = -362-4·72·(-8)
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-60}{2*72}=\frac{-24}{144}
=-1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+60}{2*72}=\frac{96}{144}
=2/3
$