| Exam Board | OCR |
|---|---|
| Module | H240/01 (Pure Mathematics) |
| Year | 2018 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Topic | Solving quadratics and applications |
| Type | Quadratic in higher integer powers |
| Difficulty | Moderate -0.8 This is a straightforward quartic-as-quadratic substitution problem requiring only rearrangement to standard form, substitution u=x², solving the resulting quadratic, then taking square roots. The technique is routine and commonly practiced, with no conceptual difficulty beyond basic algebraic manipulation, making it easier than average. |
| Spec | 1.02f Solve quadratic equations: including in a function of unknown |
3 In this question you must show detailed reasoning.\\
Find the two real roots of the equation $x ^ { 4 } - 5 = 4 x ^ { 2 }$. Give the roots in an exact form.
\hfill \mbox{\textit{OCR H240/01 2018 Q3 [4]}}