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17x^2-37x-30=0
a = 17; b = -37; c = -30;
Δ = b2-4ac
Δ = -372-4·17·(-30)
Δ = 3409
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{-(-37)-\sqrt{3409}}{2*17}=\frac{37-\sqrt{3409}}{34} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+\sqrt{3409}}{2*17}=\frac{37+\sqrt{3409}}{34} $
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