Question

find the value of k for which x2 + 6x + k = 0 has equal roots

Answer 1

Hope it will help u

Answer 2

The value of k is 9.

Step-by-step explanation:

A quadratic equation $ax^2+bx+c=0$ has equal roots if

$b^2-4ac=0$             ...(1)

The given equation is

$x^2+6x+k=0$

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

$(6)^2-4(1)(k)=0$

$36-4k=0$

Subtract 36 from both sides.

$-4k=-36$

Divide both sides by -4.

$k=9$

Therefore, the value of k is 9.

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