x2+17x+31=0,

Solution for x2+17x+31=0, equation:

x2+17x+31=0.

We add all the numbers together, and all the variables

x^2+17x+31=0

a = 1; b = 17; c = +31;
Δ = b2-4ac
Δ = 172-4·1·31
Δ = 165
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-\sqrt{165}}{2*1}=\frac{-17-\sqrt{165}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+\sqrt{165}}{2*1}=\frac{-17+\sqrt{165}}{2}
$