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If α and β are the zeros of the polynomial , then 1/α + 1/β equals:

Competition practiceAlgebra
  • A10/7
  • B7
  • C−7/10
  • D7/10

Step-by-Step Solution

α + β = 7 and αβ = 10. Then 1/α + 1/β = (α + β)/(αβ) = 7/10. (The zeros are 2 and 5, and 1/2 + 1/5 = 7/10.)
Answer: D) 7/10

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