Algebramedium · Past Paper

If α and β are roots of 2x^2 - 4x + 1 = 0, find the value of 1/α + 1/β.

A2
B4
C1/2
D-4

✓ Correct Answer: B4

1/α + 1/β = (α+β)/αβ. α+β = -(-4)/2 = 2, αβ = 1/2. Value = 2/(1/2) = 4.

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