Question

Find the non zero value of k for which the roots of the quadratic equation 9x2-3kx+k=0 has real and equal roots

Answer 1

Roots of quadratic equation are real and equal if it's discriminant is 0
${( - 3k)}^{2} - 4 \times 9 \times k = 0 \\ 9 {k}^{2} - 36k = 0 \\ 9k(k - 4) = 0 \\ k = 0 \: \: or \: \: 4$
Therefore non-zero value of k is 4

Answer 2

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