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Question

Find k, if the equation kx²-2√5x+4=0 has equal roots.

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Solution

Given kx2 – 2√5x + 4 = 0

has equal roots Hence b2 – 4ac = 0
That is
(– 2√5)2 – 4(k)(4) = 0
20 – 16k = 0
∴ k = 5/4

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