3x^2-85x=136

Solution for 3x^2-85x=136 equation:

3x^2-85x=136

We move all terms to the left:

3x^2-85x-(136)=0

a = 3; b = -85; c = -136;
Δ = b2-4ac
Δ = -852-4·3·(-136)
Δ = 8857
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{8857}}{2*3}=\frac{85-\sqrt{8857}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-85)+\sqrt{8857}}{2*3}=\frac{85+\sqrt{8857}}{6}
$