examday

Official papers

Official 2018 Paper 2 · Q20

Paper 2Algebra

It is given that the equation x+p+x=p\sqrt{x+p}+\sqrt x=p has at least one real solution for xx, where pp is a real constant.

What is the complete set of possible values for pp?

Ap=0p=0 or p=1p=1
Bp=0p=0 or p≥1p\geq1
Cp≥−xp\geq-x
Dp≥xp\geq\sqrt x
Ep≥0p\geq0
Fp≥1p\geq1

Read the questions freely. Sign in to check your answer, see the worked solution and save your progress.

Sign in to check your answerPractise the whole paper →