2(x^2)-x-450=0

Solution for 2(x^2)-x-450=0 equation:

2(x^2)-x-450=0

We add all the numbers together, and all the variables

2x^2-1x-450=0

a = 2; b = -1; c = -450;
Δ = b2-4ac
Δ = -12-4·2·(-450)
Δ = 3601
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{3601}}{2*2}=\frac{1-\sqrt{3601}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{3601}}{2*2}=\frac{1+\sqrt{3601}}{4}
$