x2-23x-50=0

Solution for x2-23x-50=0 equation:

x2-23x-50=0

We add all the numbers together, and all the variables

x^2-23x-50=0

a = 1; b = -23; c = -50;
Δ = b2-4ac
Δ = -232-4·1·(-50)
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-23)-27}{2*1}=\frac{-4}{2}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-23)+27}{2*1}=\frac{50}{2}
=25
$