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10n^2+11n-14=0
a = 10; b = 11; c = -14;
Δ = b2-4ac
Δ = 112-4·10·(-14)
Δ = 681
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}$$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-\sqrt{681}}{2*10}=\frac{-11-\sqrt{681}}{20} $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{681}}{2*10}=\frac{-11+\sqrt{681}}{20} $
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