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x-2(x2)=-0.1
We move all terms to the left:
x-2(x2)-(-0.1)=0
We add all the numbers together, and all the variables
-2x^2+x+0.1=0
a = -2; b = 1; c = +0.1;
Δ = b2-4ac
Δ = 12-4·(-2)·0.1
Δ = 1.8
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{-(1)-\sqrt{1.8}}{2*-2}=\frac{-1-\sqrt{1.8}}{-4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{1.8}}{2*-2}=\frac{-1+\sqrt{1.8}}{-4} $
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