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9x^2+13x-3=0
a = 9; b = 13; c = -3;
Δ = b2-4ac
Δ = 132-4·9·(-3)
Δ = 277
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{-(13)-\sqrt{277}}{2*9}=\frac{-13-\sqrt{277}}{18} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+\sqrt{277}}{2*9}=\frac{-13+\sqrt{277}}{18} $
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