10x^2-75x-250=0

Solution for 10x^2-75x-250=0 equation:

10x^2-75x-250=0

a = 10; b = -75; c = -250;
Δ = b2-4ac
Δ = -752-4·10·(-250)
Δ = 15625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{15625}=125$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-75)-125}{2*10}=\frac{-50}{20}
=-2+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75)+125}{2*10}=\frac{200}{20}
=10
$