2n^2-n-630=0

Solution for 2n^2-n-630=0 equation:

2n^2-n-630=0

We add all the numbers together, and all the variables

2n^2-1n-630=0

a = 2; b = -1; c = -630;
Δ = b2-4ac
Δ = -12-4·2·(-630)
Δ = 5041
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5041}=71$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-71}{2*2}=\frac{-70}{4}
=-17+1/2
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+71}{2*2}=\frac{72}{4}
=18
$