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17x^2-85x=0
a = 17; b = -85; c = 0;
Δ = b2-4ac
Δ = -852-4·17·0
Δ = 7225
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{7225}=85$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-85)-85}{2*17}=\frac{0}{34} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-85)+85}{2*17}=\frac{170}{34} =5 $
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