4n^2-2n-870=0

Solution for 4n^2-2n-870=0 equation:

4n^2-2n-870=0

a = 4; b = -2; c = -870;
Δ = b2-4ac
Δ = -22-4·4·(-870)
Δ = 13924
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{13924}=118$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-118}{2*4}=\frac{-116}{8}
=-14+1/2
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+118}{2*4}=\frac{120}{8}
=15
$