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CAIE A-Level Mathematics AS 1.1.3 Quadratic Equations Questions

Practise choosing factorisation, completing the square or the quadratic formula to obtain exact roots and using sign analysis to solve quadratic inequalities.

Syllabus
2028–2030
Course
Mathematics 9709
Level
AS

Exam points

  • solve simultaneous equations algebraically and graphically
  • solve linear and quadratic inequalities
  • interpret solution sets and intersections

CAIE A-Level Mathematics AS 1.1.3 Quadratic Equations Questions question 1

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Figure for Question CAIE A-Level Mathematics AS 1.1.3 Quadratic Equations Questions question 1 — CAIE A-Level Mathematics AS

The function f is defined by f(x)=2x2+4\mathrm{f}(x)=\frac{2}{x^{2}}+4 for x<0. The diagram shows the graph of y=f(x).

Solve the equation f(x)=4.5.

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