6x^2+91x+85=0

Solution for 6x^2+91x+85=0 equation:

6x^2+91x+85=0

a = 6; b = 91; c = +85;
Δ = b2-4ac
Δ = 912-4·6·85
Δ = 6241
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6241}=79$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(91)-79}{2*6}=\frac{-170}{12}
=-14+1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(91)+79}{2*6}=\frac{-12}{12}
=-1
$