2x^2-x-3160=0

Solution for 2x^2-x-3160=0 equation:

2x^2-x-3160=0

We add all the numbers together, and all the variables

2x^2-1x-3160=0

a = 2; b = -1; c = -3160;
Δ = b2-4ac
Δ = -12-4·2·(-3160)
Δ = 25281
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25281}=159$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-159}{2*2}=\frac{-158}{4}
=-39+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+159}{2*2}=\frac{160}{4}
=40
$