x^2+(85+2)x+170=0

Solution for x^2+(85+2)x+170=0 equation:

x^2+(85+2)x+170=0

We add all the numbers together, and all the variables

x^2+87x+170=0

a = 1; b = 87; c = +170;
Δ = b2-4ac
Δ = 872-4·1·170
Δ = 6889
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6889}=83$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(87)-83}{2*1}=\frac{-170}{2}
=-85
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(87)+83}{2*1}=\frac{-4}{2}
=-2
$