Question
If the roots of the quadratic equation 6m² + 7m + 8 = 0
are α and β, then what is the value of [(1/α) + (1/β)]?Solution
ATQ,
Given: α, β are the roots of 6m² + 7m + 8 = 0. We know: α + β = -b/a = -7/6 αβ = c/a = 8/6 = 4/3 Now, Thus, (1/α) + (1/β) = -7/8 .
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