Question

for what
value of K, the equation 9x^2+6kx+4=0
has equal roots?​

Answer 1

Step-by-step explanation:

SOLUTION

TO FIND

K= ?

GIVEN EQUAL ROOTS

FORMULA USED

D= b²-4ac = 0

EQUATION

= 9x²+6kx+4

Here a = 9 ,b= 6k , c = 4

Putting in formula we get :-

0= (6k)²-4(9)(4)

0= 36k²-144

0= 36k(k-4)

so 36k = 0 and k-4=0

k = 0 and k= 4