PYQ Vault
EbooksTutor

x + 1/x given: ratio of quadratics, divide top and bottom by x

This type of question, asked 2 times: 26 Jul 2023 S2, 12 Sep 2024 S1. All 2 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    26 Jul 2023 S2

    73
    If x+1x=1x + \frac{1}{x} = 1, then the value of x2+7x+1x2+11x+1=?\frac{x^2 + 7x + 1}{x^2 + 11x + 1} = ?

    Tap an option to check your answer.

  2. Question 2

    12 Sep 2024 S1

    66
    If x+1x=15x + \frac{1}{x} = 15, then the value of 7x2−9x+7x2−x+1\frac{7x^2 - 9x + 7}{x^2 - x + 1} is:

    Tap an option to check your answer.