State any restrictions on the variable in the complex fraction. \frac{\frac{x-4}{x+4}}{\frac{x^{2}-1}{x}}

Annette Arroyo 2021-05-09 Answered
State any restrictions on the variable in the complex fraction. \(\displaystyle{\frac{{{\frac{{{x}-{4}}}{{{x}+{4}}}}}}{{{\frac{{{x}^{{{2}}}-{1}}}{{{x}}}}}}}\)

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Expert Answer

Brighton
Answered 2021-05-10 Author has 7945 answers

\(\displaystyle{\frac{{{x}-{4}}}{{{x}}}}={5}\) By cross multiplication.
Multiply both sides by x
\(\displaystyle{\frac{{{x}-{4}}}{{{x}}}}\times{x}={5}\times{x}\)
5x=x-4 Multiplying the numbers
4x=-4 Subtracting x from both sides
\(\frac{4x}{4}=\frac{-4}{4}\) Dividing both sides by 4
x=-1 Simplifying fractions

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