X^2-55x+250=124

Solution for X^2-55x+250=124 equation:

X^2-55X+250=124

We move all terms to the left:

X^2-55X+250-(124)=0

We add all the numbers together, and all the variables

X^2-55X+126=0

a = 1; b = -55; c = +126;
Δ = b2-4ac
Δ = -552-4·1·126
Δ = 2521
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-55)-\sqrt{2521}}{2*1}=\frac{55-\sqrt{2521}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-55)+\sqrt{2521}}{2*1}=\frac{55+\sqrt{2521}}{2}
$