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-6x^2+35-17x=0
a = -6; b = -17; c = +35;
Δ = b2-4ac
Δ = -172-4·(-6)·35
Δ = 1129
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{1129}}{2*-6}=\frac{17-\sqrt{1129}}{-12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+\sqrt{1129}}{2*-6}=\frac{17+\sqrt{1129}}{-12} $
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