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8n^2+112n+384=0
a = 8; b = 112; c = +384;
Δ = b2-4ac
Δ = 1122-4·8·384
Δ = 256
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{256}=16$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(112)-16}{2*8}=\frac{-128}{16} =-8 $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(112)+16}{2*8}=\frac{-96}{16} =-6 $
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