| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Completing the square and sketching |
| Type | Solve rational equation leading to quadratic |
| Difficulty | Moderate -0.3 This is a straightforward rational equation requiring multiplication by x to clear the denominator, then solving the resulting quadratic (3x² - 2x - 5 = 0) by factorisation or formula. While it involves multiple steps, the techniques are standard C1 material with no conceptual difficulty beyond routine algebraic manipulation. |
| Spec | 1.02f Solve quadratic equations: including in a function of unknown |
| Answer | Marks | Guidance |
|---|---|---|
| \(3x^2 - 5 = 2x\) | M1 | |
| \(3x^2 - 2x - 5 = 0\) | M1 | |
| \((3x - 5)(x + 1) = 0\) | M1 | |
| \(x = -1, \frac{5}{3}\) | A2 | (4) |
| $3x^2 - 5 = 2x$ | M1 |
| $3x^2 - 2x - 5 = 0$ | M1 |
| $(3x - 5)(x + 1) = 0$ | M1 |
| $x = -1, \frac{5}{3}$ | A2 | (4)Solve the equation
$$3x - \frac{5}{x} = 2.$$ [4]
\hfill \mbox{\textit{Edexcel C1 Q2 [4]}}