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The equation whose roots are the reciprocals of the roots of is:

Competition practiceAlgebra
  • A
  • B
  • C
  • D

Step-by-Step Solution

If α and β are the roots then α + β = 7/3 and αβ = 2/3. The new roots 1/α and 1/β have sum (α + β)/(αβ) = 7/2 and product 1/(αβ) = 3/2, so the equation is , i.e. — the original coefficients written in reverse order.
Answer: D)

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