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20n^2+31n+12=0
a = 20; b = 31; c = +12;
Δ = b2-4ac
Δ = 312-4·20·12
Δ = 1
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{1}=1$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(31)-1}{2*20}=\frac{-32}{40} =-4/5 $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(31)+1}{2*20}=\frac{-30}{40} =-3/4 $
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