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2x^2+23x-11=0
a = 2; b = 23; c = -11;
Δ = b2-4ac
Δ = 232-4·2·(-11)
Δ = 617
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{-(23)-\sqrt{617}}{2*2}=\frac{-23-\sqrt{617}}{4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(23)+\sqrt{617}}{2*2}=\frac{-23+\sqrt{617}}{4} $
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