X2-39x+74=0

Solution for X2-39x+74=0 equation:

X2-39X+74=0

We add all the numbers together, and all the variables

X^2-39X+74=0

a = 1; b = -39; c = +74;
Δ = b2-4ac
Δ = -392-4·1·74
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-39)-35}{2*1}=\frac{4}{2}
=2
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-39)+35}{2*1}=\frac{74}{2}
=37
$