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17x^2-8050x+180000=0
a = 17; b = -8050; c = +180000;
Δ = b2-4ac
Δ = -80502-4·17·180000
Δ = 52562500
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{52562500}=7250$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8050)-7250}{2*17}=\frac{800}{34} =23+9/17 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8050)+7250}{2*17}=\frac{15300}{34} =450 $
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