Question
If the roots of the quadratic
equation 5x² + 4x + 6 = 0 are α and β, then what is the value of [(1/α) + (1/β)]?Solution
ATQ,
Given: α, β are the roots of the quadratic equation 5x² + 4x + 6 = 0. We need to find (1/α) + (1/β). We know that for a quadratic equation ax² + bx + c = 0, Sum of roots, α + β = -b/a = -4/5 Product of roots, αβ = c/a = 6/5 Now, 
Thus, (1/α) + (1/β) = -2/3 .
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