2x^2+100x-30000=0

Solution for 2x^2+100x-30000=0 equation:

2x^2+100x-30000=0

a = 2; b = 100; c = -30000;
Δ = b2-4ac
Δ = 1002-4·2·(-30000)
Δ = 250000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{250000}=500$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(100)-500}{2*2}=\frac{-600}{4}
=-150
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(100)+500}{2*2}=\frac{400}{4}
=100
$