5x^2-85x-36=0

Solution for 5x^2-85x-36=0 equation:

5x^2-85x-36=0

a = 5; b = -85; c = -36;
Δ = b2-4ac
Δ = -852-4·5·(-36)
Δ = 7945
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-85)-\sqrt{7945}}{2*5}=\frac{85-\sqrt{7945}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-85)+\sqrt{7945}}{2*5}=\frac{85+\sqrt{7945}}{10}
$