What is the answer to 4/(|x+1|-2)=|x+1| ?

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

Solve for x: 4/(|x+1|-2)=|x+1|

The solution is x=-2-sqrt(5),x=sqrt(5)

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\frac{4}{∣ x + 1 ∣ - 2} = ∣ x + 1 ∣

x = - 2 - 5, x = 5

Decimal Notation

x = - 4.23606 \dots, x = 2.23606 \dots

Solution steps

\frac{4}{∣ x + 1 ∣ - 2} = ∣ x + 1 ∣

Multiply both sides by

∣ x + 1 ∣ - 2

4 = ∣ x + 1 ∣ (∣ x + 1 ∣ - 2)

Solve

4 = ∣ x + 1 ∣ (∣ x + 1 ∣ - 2) : x = - 2 - 5 or x = 5

x = - 2 - 5, x = 5

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = 1

Combine undefined points with solutions:

x = - 2 - 5, x = 5

\frac{- 5}{11} = \frac{5 b - 4}{2 b + 12}

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

6 \frac{m}{( m + 222 )} \cdot 100 = 10, m

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

\frac{( 9 x + 7 )}{2 - ( x - \frac{( x - 2 )}{7} )} = - 36

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