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5n^2-3n-10=0
a = 5; b = -3; c = -10;
Δ = b2-4ac
Δ = -32-4·5·(-10)
Δ = 209
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{-(-3)-\sqrt{209}}{2*5}=\frac{3-\sqrt{209}}{10} $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{209}}{2*5}=\frac{3+\sqrt{209}}{10} $
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