X^2-170x+1600=0

Solution for X^2-170x+1600=0 equation:

X^2-170X+1600=0

a = 1; b = -170; c = +1600;
Δ = b2-4ac
Δ = -1702-4·1·1600
Δ = 22500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{22500}=150$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-170)-150}{2*1}=\frac{20}{2}
=10
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-170)+150}{2*1}=\frac{320}{2}
=160
$