Submitted by amelia_bradbury on Mon, 08/01/2016 - 19:58
How do you neatly find the root of the equation for part 4)b)?
What have you tried so far?
If it simplifies the problem, try substituting x^2 for a different variable. :)
A bit of rearranging might help as well.
Underground Mathematics: Selected worked STEP questions
STEP Question database
University of Cambridge Mathematics Faculty: What do we look for?
University of Cambridge Mathematics Faculty: Information about STEP
University of Cambridge Admissions Office: Undergraduate course information for Mathematics
Stephen Siklos' "Advanced Problems in Mathematics" book (external link)
MEI: Worked solutions to STEP questions (external link)
OCR: Exam board information about STEP (external link)
AMSP (Advanced Maths Support programme): Support for University Admission Tests (external link)
What have you tried so far?
What have you tried so far?
If it simplifies the problem,
If it simplifies the problem, try substituting x^2 for a different variable. :)
Quadratic
A bit of rearranging might help as well.