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If α and β are the roots of , find the value of 1/α + 1/β.

Competition practiceAlgebra
  • A5
  • B2.5
  • C0.5
  • D10

Step-by-Step Solution

Sum of roots α + β = 5/2, product αβ = 1/2. Then 1/α + 1/β = (α + β)/(αβ) = (5/2)/(1/2) = 5.
Answer: A) 5

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