8n^2+6n-434=0

Solution for 8n^2+6n-434=0 equation:

8n^2+6n-434=0

a = 8; b = 6; c = -434;
Δ = b2-4ac
Δ = 62-4·8·(-434)
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{-(6)-118}{2*8}=\frac{-124}{16}
=-7+3/4
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+118}{2*8}=\frac{112}{16}
=7
$