2x^2-x-2016=0

Solution for 2x^2-x-2016=0 equation:

2x^2-x-2016=0

We add all the numbers together, and all the variables

2x^2-1x-2016=0

a = 2; b = -1; c = -2016;
Δ = b2-4ac
Δ = -12-4·2·(-2016)
Δ = 16129
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16129}=127$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-127}{2*2}=\frac{-126}{4}
=-31+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+127}{2*2}=\frac{128}{4}
=32
$