17x^2-170x+2550=2142

Solution for 17x^2-170x+2550=2142 equation:

17x^2-170x+2550=2142

We move all terms to the left:

17x^2-170x+2550-(2142)=0

We add all the numbers together, and all the variables

17x^2-170x+408=0

a = 17; b = -170; c = +408;
Δ = b2-4ac
Δ = -1702-4·17·408
Δ = 1156
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1156}=34$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-170)-34}{2*17}=\frac{136}{34}
=4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-170)+34}{2*17}=\frac{204}{34}
=6
$