Question

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

Answer 1

for equal roots
D= b^2-4ac=0
${( - 3k)}^{2} - 4 \times 9 \times k = 0 \\ 9 {k}^{2} - 36k = 0 \\ 9k(k - 4) = 0 \\ k = 0\\ \: or \: k = 4$