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x-0.9x+0.2x^2=0
We add all the numbers together, and all the variables
0.2x^2+0.1x=0
a = 0.2; b = 0.1; c = 0;
Δ = b2-4ac
Δ = 0.12-4·0.2·0
Δ = 0.01
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{-(0.1)-\sqrt{0.01}}{2*0.2}=\frac{-0.1-\sqrt{0.01}}{0.4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.1)+\sqrt{0.01}}{2*0.2}=\frac{-0.1+\sqrt{0.01}}{0.4} $
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