Edexcel C1 — Question 5

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
TopicIndices and Surds

5. $$f ( x ) = ( 2 - \sqrt { x } ) ^ { 2 } , \quad x > 0$$
  1. Solve the equation \(\mathrm { f } ( x ) = 0\).
  2. Find \(\mathrm { f } ( 3 )\), giving your answer in the form \(a + b \sqrt { 3 }\), where \(a\) and \(b\) are integers.
  3. Find $$\int \mathrm { f } ( x ) \mathrm { d } x$$