2x^2-7x-10000=0

Solution for 2x^2-7x-10000=0 equation:

2x^2-7x-10000=0

a = 2; b = -7; c = -10000;
Δ = b2-4ac
Δ = -72-4·2·(-10000)
Δ = 80049
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-\sqrt{80049}}{2*2}=\frac{7-\sqrt{80049}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{80049}}{2*2}=\frac{7+\sqrt{80049}}{4}
$