x^2-45x-250=0

Solution for x^2-45x-250=0 equation:

x^2-45x-250=0

a = 1; b = -45; c = -250;
Δ = b2-4ac
Δ = -452-4·1·(-250)
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{-(-45)-55}{2*1}=\frac{-10}{2}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-45)+55}{2*1}=\frac{100}{2}
=50
$