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217x^2=x
We move all terms to the left:
217x^2-(x)=0
We add all the numbers together, and all the variables
217x^2-1x=0
a = 217; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·217·0
Δ = 1
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{1}=1$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*217}=\frac{0}{434} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*217}=\frac{2}{434} =1/217 $
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