Question

for what values of k, the equation 6x²+5kx+x=0 has equal roots​

Answer 1

Step-by-step explanation:

kx

2

−5x+k=0

Here a=k,b=−5,c=k

Given that the equation has equa roots.

Therefore,

D=0

b

2

−4ac=0

(−5)−4(k)(k)=0

25−4k

2

=0

⇒4k

2

=25

⇒k=±

4

25

=±

2

5

Hence the value of k is ±

2

5

.