Solving Rational Equations and Rearranging Algebraic Fractions
Solving Rational Equations and Rearranging Algebraic Fractions
Secondary 2
Solve the following equations, giving your answers correct to \(3\) significant figures where necessary.
- \(3x-10=\frac{7}{x}\)
- \(2x-\frac{3}{x}=-5\)
- \(\frac{x+1}{4}=\frac{6}{x-1}\)
- \(\frac{8}{x+9}-2=x\)
- \(\frac{x+4}{x}-\frac{7}{x-5}=0\)
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Answer:(i) x = 3.93 or -0.594; (ii) x = 1/2 or -3; (iii) x = 5 or -5; (iv) x = -10 or -1; (v) x = 10 or -2.
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