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3x^2+31x-6.5=0
a = 3; b = 31; c = -6.5;
Δ = b2-4ac
Δ = 312-4·3·(-6.5)
Δ = 1039
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{-(31)-\sqrt{1039}}{2*3}=\frac{-31-\sqrt{1039}}{6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(31)+\sqrt{1039}}{2*3}=\frac{-31+\sqrt{1039}}{6} $
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