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

The answer to |x|+|((4-x^2))/x |=| 4/x | is -2<= x<= 2

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|x|+|((4-x^2))/x |=| 4/x |

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

- 2 \leq x \leq 2

Solution steps

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

Simplify

∣ x ∣ + \frac{4 - x ^{2}}{∣ x ∣} = \frac{4}{∣ x ∣}

Multiply both sides by

∣ x ∣

∣ x ∣^{2} + 4 - x^{2} = 4

Solve

∣ x ∣^{2} + 4 - x^{2} = 4 : - 2 \leq x \leq 2

- 2 \leq x \leq 2

7 = \frac{31}{7 + 4 g}

\frac{3 - x}{( x - 4 )} = \frac{4}{( 4 - x )}

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

\frac{- 5}{7 \cdot x - 2} = 0

x + 3 = x (\frac{3}{x}) - 5 x

What is the answer to |x|+|((4-x^2))/x |=| 4/x | ?
The answer to |x|+|((4-x^2))/x |=| 4/x | is -2<= x<= 2
Solve for x: |x|+|((4-x^2))/x |=| 4/x |
The solution is -2<= x<= 2