2x^2-x-325=0

Solution for 2x^2-x-325=0 equation:

2x^2-x-325=0

We add all the numbers together, and all the variables

2x^2-1x-325=0

a = 2; b = -1; c = -325;
Δ = b2-4ac
Δ = -12-4·2·(-325)
Δ = 2601
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2601}=51$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-51}{2*2}=\frac{-50}{4}
=-12+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+51}{2*2}=\frac{52}{4}
=13
$