x2-15x-250=0

Solution for x2-15x-250=0 equation:

x2-15x-250=0

We add all the numbers together, and all the variables

x^2-15x-250=0

a = 1; b = -15; c = -250;
Δ = b2-4ac
Δ = -152-4·1·(-250)
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{-(-15)-35}{2*1}=\frac{-20}{2}
=-10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+35}{2*1}=\frac{50}{2}
=25
$