What is the answer to ((x+1)/x)^2+5((x+1)/x)+4=0 ?

The answer to ((x+1)/x)^2+5((x+1)/x)+4=0 is x=-1/5 ,x=-1/2

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((x+1)/x)^2+5((x+1)/x)+4=0

(\frac{x + 1}{x})^{2} + 5 (\frac{x + 1}{x}) + 4 = 0

x = - \frac{1}{5}, x = - \frac{1}{2}

Decimal Notation

x = - 0.2, x = - 0.5

Solution steps

(\frac{x + 1}{x})^{2} + 5 (\frac{x + 1}{x}) + 4 = 0

Multiply by LCM

(x + 1)^{2} + 5 x (x + 1) + 4 x^{2} = 0

Solve

(x + 1)^{2} + 5 x (x + 1) + 4 x^{2} = 0 : x = - \frac{1}{5}, x = - \frac{1}{2}

x = - \frac{1}{5}, x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{5}, x = - \frac{1}{2}

\frac{- 5 + 3}{4 ∣ 1 - x ∣} = \frac{7}{3}

\frac{( x + 1 )}{x} + ∣ x + 1 ∣ = \frac{( ( x + 1 ) ^{2} )}{∣ x ∣}

f^{- 1} (9) = 2, f^{- 1} (- 8)

\frac{x}{( x - 2 )} - \frac{( x - 2 )}{x} = \frac{5}{2}

\frac{- 3}{( x - 2 ) ^{2}} = 0

What is the answer to ((x+1)/x)^2+5((x+1)/x)+4=0 ?
The answer to ((x+1)/x)^2+5((x+1)/x)+4=0 is x=-1/5 ,x=-1/2
Solve for x: ((x+1)/x)^2+5((x+1)/x)+4=0
The solution is x=-1/5 ,x=-1/2