1.

Find the value of a for which the equation (α – 12) x2 + 2(α – 12) x + 2 = 0 has equal roots.

Answer»

(α – 12) x2 + 2(α – 12) x + 2 = 0

Roots of given equation are equal ( given)

So, D = 0

4(α – 12) (α – 14) = 0

α – 14 = 0 {(α – 12) ≠ 0}

α = 14

Hence the value of α is 14


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