Algebra: Simplifying Rational Expressions and Solving Equations
Algebra: Simplifying Rational Expressions and Solving Equations
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- Express \(\frac{4}{x-3}-\frac{x-27}{9-{{x}^{2}}}\) as a single fraction in its simplest form.
- Hence, solve the equation \(\frac{4}{x-3}-\frac{x-27}{9-{{x}^{2}}}=2\).
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Answer:(a) \(\dfrac5{x+3}\) (b) \(x=-\dfrac12\)
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