Question

One root of $x^2 + 12x + k = 0$ is twice the other root. Find $k.$

Answer 1

Let the roots of the polynomial be α and 2α.

Product of roots= c/a

》α×2α= k/1

》2α^2=k

k=2α^2

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Answer 2

Answer:

k=32

Step-by-step explanation:

One root of x^2 + 12x + k = 0 is twice the other root. Find k

k will be the product of the two roots

12 will be the sum of the two roots

12/3=4

4*2=8

The two roots are 4,8

Multiply 4 and 8, you get 32.

k=32