x2-50x+184=0

Solution for x2-50x+184=0 equation:

x2-50x+184=0

We add all the numbers together, and all the variables

x^2-50x+184=0

a = 1; b = -50; c = +184;
Δ = b2-4ac
Δ = -502-4·1·184
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-50)-42}{2*1}=\frac{8}{2}
=4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+42}{2*1}=\frac{92}{2}
=46
$