X2-15x-50=650

Solution for X2-15x-50=650 equation:

X2-15X-50=650

We move all terms to the left:

X2-15X-50-(650)=0

We add all the numbers together, and all the variables

X^2-15X-700=0

a = 1; b = -15; c = -700;
Δ = b2-4ac
Δ = -152-4·1·(-700)
Δ = 3025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3025}=55$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-55}{2*1}=\frac{-40}{2}
=-20
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+55}{2*1}=\frac{70}{2}
=35
$