X2-23x+126=0

Solution for X2-23x+126=0 equation:

X2-23X+126=0

We add all the numbers together, and all the variables

X^2-23X+126=0

a = 1; b = -23; c = +126;
Δ = b2-4ac
Δ = -232-4·1·126
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{-(-23)-5}{2*1}=\frac{18}{2}
=9
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-23)+5}{2*1}=\frac{28}{2}
=14
$