What is the answer to 2((x-1)/x)^2-5((x+1)/(x+2))+18=0 ?

The answer to 2((x-1)/x)^2-5((x+1)/(x+2))+18=0 is x\approx-2.29195…

Solve for x: 2((x-1)/x)^2-5((x+1)/(x+2))+18=0

The solution is x\approx-2.29195…

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2 (\frac{x - 1}{x})^{2} - 5 (\frac{x + 1}{x + 2}) + 18 = 0

x \approx - 2.29195 \dots

Solution steps

2 (\frac{x - 1}{x})^{2} - 5 (\frac{x + 1}{x + 2}) + 18 = 0

Multiply by LCM

2 (x - 1)^{2} (x + 2) - 5 x^{2} (x + 1) + 18 x^{2} (x + 2) = 0

Solve

2 (x - 1)^{2} (x + 2) - 5 x^{2} (x + 1) + 18 x^{2} (x + 2) = 0 : x \approx - 2.29195 \dots

x \approx - 2.29195 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 2

Combine undefined points with solutions:

x \approx - 2.29195 \dots

\frac{( x ^{- 2} )}{x} = \frac{1}{( x ^{12} )}

\frac{( x - 6 )}{( x + 4 )} = 0

2 x^{- 5} = (16)^{2}

(\frac{x + 1}{x})^{2} = \frac{4 + 3}{2 ( x - \frac{1}{x} )}

5 \frac{x}{x - 5} + ∣ x ∣ = \frac{x ^{2}}{∣ x - 5 ∣}

What is the answer to 2((x-1)/x)^2-5((x+1)/(x+2))+18=0 ?
The answer to 2((x-1)/x)^2-5((x+1)/(x+2))+18=0 is x\approx-2.29195…
Solve for x: 2((x-1)/x)^2-5((x+1)/(x+2))+18=0
The solution is x\approx-2.29195…