Question

The equation x²+6x+k=0 has only one solution. Then find the value of k.​

Answer 1

The value of k is 9.

Step-by-step explanation:

A quadratic equation  has equal roots if

            ...(1)

The given equation is

Here, a=1, b=6 and c=k. Substitute these values in equation (1).

Subtract 36 from both sides.

Divide both sides by -4.

Therefore, the value of k is 9.

#Learn more

If the roots of the equation kx2-5x+k=0 has real and equal roots then find the valu

Find the value of k in x ^2 - 4X+K=0 has equal roots

Answer 2

Answer:

k= 9

Step-by-step explanation:

Given, the equation has only one solution

Discriminant, b^2 - 4ac = (6)^2 - 4k =0

36=4k

k= 9

Therefore required answer is 9