Question

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

Answer 1

Answer:

9x²-6kx+4=0

Let the roots be α

Product of roots= c/a

α²=4/9

α=√(4/9)=2/3

Sum of roots= -b/a

2α= 6k/9

2(2/3)= 2k/3

2=k

Answer 2

Answer:

k = ± 2

Step-by-step explanation:

9x^2 + 6kx + 4 = 0

(6k)^2 - 4 × 9 × 4 = 0

36k^ = 144

k^2 = 4

k = ± 2