Solve rational equation

Solve an equation involving rational expressions, typically by finding a common denominator and solving the resulting polynomial equation.

7 questions · Moderate -0.5

1.02k Simplify rational expressions: factorising, cancelling, algebraic division
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OCR MEI C4 2007 January Q1
4 marks Moderate -0.8
1 Solve the equation \(\frac { 1 } { x } + \frac { x } { x + 2 } = 1\).
OCR MEI C4 Q1
3 marks Moderate -0.8
1 Solve the equation. $$\frac { 8 } { x } - \frac { 9 } { x + 1 } = 1$$
OCR MEI C4 Q1
5 marks Moderate -0.3
1 Solve the equation \(\frac { 5 x } { 2 x + 1 } - \frac { 3 } { x + 1 } = 1\).
OCR MEI C4 Q3
5 marks Moderate -0.3
3 Solve the equation \(\frac { 4 x } { x + 1 } - \frac { 3 } { 2 x + 1 } = 1\).
OCR MEI C4 Q1
4 marks Moderate -0.8
1 Solve the equation \(\frac { 2 x } { x + 1 } - \frac { 1 } { x - 1 } = 1\).
OCR MEI C4 Q5
5 marks Moderate -0.3
5 Solve the equation \(\frac { 2 x } { x - 2 } - \frac { 4 x } { x + 1 } = 3\).
Edexcel C3 Q1
6 marks Moderate -0.3
  1. (a) Express
$$\frac { x + 4 } { 2 x ^ { 2 } + 3 x + 1 } - \frac { 2 } { 2 x + 1 }$$ as a single fraction in its simplest form.
(b) Hence, find the values of \(x\) such that $$\frac { x + 4 } { 2 x ^ { 2 } + 3 x + 1 } - \frac { 2 } { 2 x + 1 } = \frac { 1 } { 2 } .$$