For what values of k, the equation 9x2 + 6kx + 4 = 0 has equal roots?

9x2 + 6kx + 4 = 0For equal roots, D = 0(6k)2 – 4 × 9 × 4 = 036k2 = 144k2 = 4k = ±2

Q6 of 27 Page 1

For what values of k, the equation 9x² + 6kx + 4 = 0 has equal roots?

9x² + 6kx + 4 = 0

For equal roots, D = 0

(6k)² – 4 × 9 × 4 = 0

36k² = 144

k² = 4

k = ±2

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