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8n^2+6n-27=0
a = 8; b = 6; c = -27;
Δ = b2-4ac
Δ = 62-4·8·(-27)
Δ = 900
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{900}=30$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-30}{2*8}=\frac{-36}{16} =-2+1/4 $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+30}{2*8}=\frac{24}{16} =1+1/2 $
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