-2x^2+308x-7986=0

Solution for -2x^2+308x-7986=0 equation:

-2x^2+308x-7986=0

a = -2; b = 308; c = -7986;
Δ = b2-4ac
Δ = 3082-4·(-2)·(-7986)
Δ = 30976
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{30976}=176$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(308)-176}{2*-2}=\frac{-484}{-4}
=+121
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(308)+176}{2*-2}=\frac{-132}{-4}
=+33
$