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x^2-13x-17=0
a = 1; b = -13; c = -17;
Δ = b2-4ac
Δ = -132-4·1·(-17)
Δ = 237
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{237}}{2*1}=\frac{13-\sqrt{237}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+\sqrt{237}}{2*1}=\frac{13+\sqrt{237}}{2} $
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