5n^2-n-594=0

Solution for 5n^2-n-594=0 equation:

5n^2-n-594=0

We add all the numbers together, and all the variables

5n^2-1n-594=0

a = 5; b = -1; c = -594;
Δ = b2-4ac
Δ = -12-4·5·(-594)
Δ = 11881
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11881}=109$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-109}{2*5}=\frac{-108}{10}
=-10+4/5
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+109}{2*5}=\frac{110}{10}
=11
$