ConceptConceptDocsDocuments

CAIE IGCSE Additional Math 4.1 solve modulus equations

Use this modulus-equations page to split absolute-value cases, solve each case and check solutions against the original equation.

Syllabus
2028–2030
Course
Additional Mathematics 0606

Exam points

  • Split modulus equations into positive and negative cases before solving.
  • Check each solution in the original modulus equation to reject invalid roots.
  • Use graphs or vertex values to decide when |f(x)|=k has a given number of solutions.

4.1. Solve modulus equations question 1

[Maximum number: 1]

(a) Find the coordinates of the stationary point on the curve y=(x+3)(x-4).

Given that k>0, write down the values of k for which the equation |(x+3)(x-4)|=k has exactly 2 distinct real roots.

All question bank results loaded