CAIE A-Level Mathematics 1.1.3 Quadratic Equations and Inequalities

CAIE A-Level Mathematics 1.1.3 Quadratic Equations and Inequalities
Cambridge International AS & A Level Mathematics 9709 syllabus for exams in 2028, 2029 and 20302028–2030

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

How this is tested

  • choose factorisation, completing the square or the formula and retain exact surd roots
  • solve a quadratic inequality by locating critical roots and testing the sign between them
  • check domains and reject roots introduced when rearranging logarithmic or rational equations

Question 1(c)

[Maximum number: 2]

Find the exact roots of the equation 9x2−36x+8=−159 x^{2}-36 x+8=-15.