8n^2+10n-1272=0

Solution for 8n^2+10n-1272=0 equation:

8n^2+10n-1272=0

a = 8; b = 10; c = -1272;
Δ = b2-4ac
Δ = 102-4·8·(-1272)
Δ = 40804
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{40804}=202$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-202}{2*8}=\frac{-212}{16}
=-13+1/4
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+202}{2*8}=\frac{192}{16}
=12
$