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6x^2+71x+115=0
a = 6; b = 71; c = +115;
Δ = b2-4ac
Δ = 712-4·6·115
Δ = 2281
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(71)-\sqrt{2281}}{2*6}=\frac{-71-\sqrt{2281}}{12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(71)+\sqrt{2281}}{2*6}=\frac{-71+\sqrt{2281}}{12} $
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