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X=0.66/X
We move all terms to the left:
X-(0.66/X)=0
Domain of the equation: X)!=0We add all the numbers together, and all the variables
X!=0/1
X!=0
X∈R
X-(+0.66/X)=0
We get rid of parentheses
X-0.66/X=0
We multiply all the terms by the denominator
X*X-0.66=0
Wy multiply elements
X^2-0.66=0
a = 1; b = 0; c = -0.66;
Δ = b2-4ac
Δ = 02-4·1·(-0.66)
Δ = 2.64
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)-\sqrt{2.64}}{2*1}=\frac{0-\sqrt{2.64}}{2} =-\frac{\sqrt{}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{2.64}}{2*1}=\frac{0+\sqrt{2.64}}{2} =\frac{\sqrt{}}{2} $
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