CAIE P3 2004 June — Question 4

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2004
SessionJune
TopicQuadratic Functions

4
  1. Show that if \(y = 2 ^ { x }\), then the equation $$2 ^ { x } - 2 ^ { - x } = 1$$ can be written as a quadratic equation in \(y\).
  2. Hence solve the equation $$2 ^ { x } - 2 ^ { - x } = 1$$