x2+31x+234=0

Solution for x2+31x+234=0 equation:

x2+31x+234=0

We add all the numbers together, and all the variables

x^2+31x+234=0

a = 1; b = 31; c = +234;
Δ = b2-4ac
Δ = 312-4·1·234
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(31)-5}{2*1}=\frac{-36}{2}
=-18
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(31)+5}{2*1}=\frac{-26}{2}
=-13
$