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14x^2-17x-7=0
a = 14; b = -17; c = -7;
Δ = b2-4ac
Δ = -172-4·14·(-7)
Δ = 681
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{-(-17)-\sqrt{681}}{2*14}=\frac{17-\sqrt{681}}{28} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+\sqrt{681}}{2*14}=\frac{17+\sqrt{681}}{28} $
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