x2+31x+58=0

Solution for x2+31x+58=0 equation:

x2+31x+58=0

We add all the numbers together, and all the variables

x^2+31x+58=0

a = 1; b = 31; c = +58;
Δ = b2-4ac
Δ = 312-4·1·58
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(31)-27}{2*1}=\frac{-58}{2}
=-29
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(31)+27}{2*1}=\frac{-4}{2}
=-2
$