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0.05=2x-x^2
We move all terms to the left:
0.05-(2x-x^2)=0
We get rid of parentheses
x^2-2x+0.05=0
a = 1; b = -2; c = +0.05;
Δ = b2-4ac
Δ = -22-4·1·0.05
Δ = 3.8
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{-(-2)-\sqrt{3.8}}{2*1}=\frac{2-\sqrt{3.8}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+\sqrt{3.8}}{2*1}=\frac{2+\sqrt{3.8}}{2} $
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