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3n^2-10n-57=0
a = 3; b = -10; c = -57;
Δ = b2-4ac
Δ = -102-4·3·(-57)
Δ = 784
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{784}=28$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-28}{2*3}=\frac{-18}{6} =-3 $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+28}{2*3}=\frac{38}{6} =6+1/3 $
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