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x(1-x)=-0.1834
We move all terms to the left:
x(1-x)-(-0.1834)=0
We add all the numbers together, and all the variables
x(-1x+1)-(-0.1834)=0
We add all the numbers together, and all the variables
x(-1x+1)+0.1834=0
We multiply parentheses
-1x^2+x+0.1834=0
a = -1; b = 1; c = +0.1834;
Δ = b2-4ac
Δ = 12-4·(-1)·0.1834
Δ = 1.7336
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{1.7336}}{2*-1}=\frac{-1-\sqrt{1.7336}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{1.7336}}{2*-1}=\frac{-1+\sqrt{1.7336}}{-2} $
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