Question

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

Answer 1

Answer:

Given, 9x²+6kx+4=0

For equal roots , D=0

=> b²-4ac = 0

(6k)² - 4(9)(4) = 0

36k² - 144 = 0

36( k² - 4 ) = 0

=> k²-4 = 0

k² = 4

k = ±√4

k = ±2