Question

Find the values of k for which the quadratic ploynomial 9x^2-3kx+k=0 has equal roots

Answer 1

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Answer 2

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Here's your answer

If roots are equal then the Discriminant is equal to 0

Eqn.: 9x² - 3kx + k = 0

a = 9
b = -3k
c = k

Discriminant = b² - 4ac 
Since the roots are equal, b² - 4ac  is = 0

(-3k)² - 4 * 9 * k = 0
9k² - 36k = 0
9k ( k - 4 ) = 0

9k = 0 , k - 4 = 0
So k = 0 and 4

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