2x^2+30x-6500=0

Solution for 2x^2+30x-6500=0 equation:

2x^2+30x-6500=0

a = 2; b = 30; c = -6500;
Δ = b2-4ac
Δ = 302-4·2·(-6500)
Δ = 52900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{52900}=230$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-230}{2*2}=\frac{-260}{4}
=-65
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+230}{2*2}=\frac{200}{4}
=50
$