x^2-170x+4200=0

Solution for x^2-170x+4200=0 equation:

x^2-170x+4200=0

a = 1; b = -170; c = +4200;
Δ = b2-4ac
Δ = -1702-4·1·4200
Δ = 12100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12100}=110$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-170)-110}{2*1}=\frac{60}{2}
=30
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-170)+110}{2*1}=\frac{280}{2}
=140
$