2x^2+x-312=0

Solution for 2x^2+x-312=0 equation:

2x^2+x-312=0

a = 2; b = 1; c = -312;
Δ = b2-4ac
Δ = 12-4·2·(-312)
Δ = 2497
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{-(1)-\sqrt{2497}}{2*2}=\frac{-1-\sqrt{2497}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{2497}}{2*2}=\frac{-1+\sqrt{2497}}{4}
$