Multiple choice

If A and B are roots of x^2 - 2x + 3 = 0, thenthe equation whose roots are (A-1)/(A+1) and (B-1)/(B+1) will be

  1. 3x^2 - 2x + 1 = 0

  2. 3x^2 + 2x + 1 = 0

  3. 3x^2 - 2x - 1 = 0

  4. x^2 - 3x + 1 = 0
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let y = (A - 1)/(A + 1), so A = (1 + y)/(1 - y). Substitution into A^2 - 2A + 3 = 0 simplifies to 3y^2 - 2y + 1 = 0, giving option A.

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