If α and β are the zeros of the quadratic polynomial p(y) = 5y² - 7y + 1 , find the value of (1/α) + (1/β) .
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1/ α + 1/β = 7
Step-by-step explanation:
p(y) = 5y² - 7y + 1
α and β are the zeroes of the polynominial.
Then α + β = -b/a = 7/5
αβ = c/a = 1/5
Now 1/ α + 1/β = α + β / αβ = 7/5 / 1/5 = 7
1/ α + 1/β = 7
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