X2+31x+30=0

Solution for X2+31x+30=0 equation:

X2+31X+30=0

We add all the numbers together, and all the variables

X^2+31X+30=0

a = 1; b = 31; c = +30;
Δ = b2-4ac
Δ = 312-4·1·30
Δ = 841
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{841}=29$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(31)-29}{2*1}=\frac{-60}{2}
=-30
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(31)+29}{2*1}=\frac{-2}{2}
=-1
$