n^2-n=930

Solution for n^2-n=930 equation:

n^2-n=930

We move all terms to the left:

n^2-n-(930)=0

We add all the numbers together, and all the variables

n^2-1n-930=0

a = 1; b = -1; c = -930;
Δ = b2-4ac
Δ = -12-4·1·(-930)
Δ = 3721
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3721}=61$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-61}{2*1}=\frac{-60}{2}
=-30
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+61}{2*1}=\frac{62}{2}
=31
$