x2+27x+170=0

Solution for x2+27x+170=0 equation:

x2+27x+170=0

We add all the numbers together, and all the variables

x^2+27x+170=0

a = 1; b = 27; c = +170;
Δ = b2-4ac
Δ = 272-4·1·170
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(27)-7}{2*1}=\frac{-34}{2}
=-17
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(27)+7}{2*1}=\frac{-20}{2}
=-10
$