Question
If the roots of the quadratic equation 7y² + 5y + 9 = 0
are α and β, then find the value of [(1/α) + (1/β)].Solution
ATQ,
Given: α, β are the roots of 7y² + 5y + 9 = 0. We know: α + β = -b/a = -5/7 αβ = c/a = 9/7 Now, 
Thus, (1/α) + (1/β) = -5/9 .
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