OCR MEI C4 2007 January — Question 1 4 marks

Exam BoardOCR MEI
ModuleC4 (Core Mathematics 4)
Year2007
SessionJanuary
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicPartial Fractions
TypeSolve rational equation
DifficultyModerate -0.8 This is a straightforward rational equation requiring only algebraic manipulation: multiply through by the common denominator x(x+2), expand to get a quadratic, and solve. It's simpler than average A-level questions as it involves routine techniques with no conceptual challenges or multi-step reasoning.
Spec1.02k Simplify rational expressions: factorising, cancelling, algebraic division

1 Solve the equation \(\frac { 1 } { x } + \frac { x } { x + 2 } = 1\).

Solve the equation \(\frac{1}{x} + \frac{1}{x-2} = 1\). [4]
Solve the equation $\frac{1}{x} + \frac{1}{x-2} = 1$. [4]
1 Solve the equation $\frac { 1 } { x } + \frac { x } { x + 2 } = 1$.

\hfill \mbox{\textit{OCR MEI C4 2007 Q1 [4]}}