Algebrahard · Past Paper
If α, β are roots of ax^2 + bx + c = 0, what is the equation with roots 1/α, 1/β?
Acx^2 + bx + a = 0
Bax^2 - bx + c = 0
Ccx^2 - bx + a = 0
Dax^2 + cx + b = 0
✓ Correct Answer: A — cx^2 + bx + a = 0
Replace x with 1/x: a(1/x)^2 + b(1/x) + c = 0 => a + bx + cx^2 = 0.
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