X2-31x+150=0

Solution for X2-31x+150=0 equation:

X2-31X+150=0

We add all the numbers together, and all the variables

X^2-31X+150=0

a = 1; b = -31; c = +150;
Δ = b2-4ac
Δ = -312-4·1·150
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-31)-19}{2*1}=\frac{12}{2}
=6
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-31)+19}{2*1}=\frac{50}{2}
=25
$