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If the roots of the quadratic equation px(x – 2) + 6 = 0 are equal, find the value of p.
Given that the roots of the quadratic equation are equal
Comparing with general equation, for the given equation
4p(p-6) = 0
4p = 0 or (p-6) = 0
p = 0 or p = 6
Putting p = 0 in equation given we get 6 = 0 that is not possible
Hence value of p = 6 for which the equation has equal roots.