2x^2+9x-1316=0

Solution for 2x^2+9x-1316=0 equation:

2x^2+9x-1316=0

a = 2; b = 9; c = -1316;
Δ = b2-4ac
Δ = 92-4·2·(-1316)
Δ = 10609
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10609}=103$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-103}{2*2}=\frac{-112}{4}
=-28
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+103}{2*2}=\frac{94}{4}
=23+1/2
$