-34x2-170x-204=0

Solution for -34x2-170x-204=0 equation:

-34x^2-170x-204=0

a = -34; b = -170; c = -204;
Δ = b2-4ac
Δ = -1702-4·(-34)·(-204)
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*-34}=\frac{136}{-68}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-170)+34}{2*-34}=\frac{204}{-68}
=-3
$