Polynomials & Rational Functions
Review question

Can we solve $\sqrt{4x+13}-\sqrt{x+1}=\sqrt{12-x}?$
Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R6431
Printable/supporting materials Printable version Fullscreen mode Teacher notes

Question

  1. Solve \[\sqrt{4x+13}-\sqrt{x+1}=\sqrt{12-x}.\]

  2. One root of the equation \[3x^3+14x^2+2x-4=0\] is rational. Obtain this root and complete the solution of the equation.

Previous Next

UCLES A level Mathematics Scholarship paper, QP 183, 1954, Q1

Question reproduced by kind permission of Cambridge Assessment Group Archives. The question remains Copyright University of Cambridge Local Examinations Syndicate (“UCLES”), All rights reserved.

 Last updated 06-Oct-21
Add to your collection Add the current resource to your resource collection
Email Twitter
Terms Cookies Privacy
Rich resources for teaching A level mathematics
Copyright © and Database Right 2013-2024 University of Cambridge
All rights reserved
University of Cambridge logo
Department for Education logo