5x^2+250x-150000=0

Solution for 5x^2+250x-150000=0 equation:

5x^2+250x-150000=0

a = 5; b = 250; c = -150000;
Δ = b2-4ac
Δ = 2502-4·5·(-150000)
Δ = 3062500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3062500}=1750$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(250)-1750}{2*5}=\frac{-2000}{10}
=-200
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(250)+1750}{2*5}=\frac{1500}{10}
=150
$