| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2009 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Solving quadratics and applications |
| Type | Quadratic in negative or reciprocal fractional powers |
| Difficulty | Standard +0.3 This is a straightforward substitution question where students let u = x^(1/3) to transform it into 3u² + u - 2 = 0, then solve the quadratic and cube the result. While it requires recognizing the substitution pattern and handling fractional indices, it's a standard C1 technique with no conceptual surprises, making it slightly easier than average. |
| Spec | 1.02a Indices: laws of indices for rational exponents1.02f Solve quadratic equations: including in a function of unknown |
3 Solve the equation $3 x ^ { \frac { 2 } { 3 } } + x ^ { \frac { 1 } { 3 } } - 2 = 0$.
\hfill \mbox{\textit{OCR C1 2009 Q3 [5]}}