Question

Which of the following constants can be added to x^2 + 2/3x to form a perfect square trinomial?

A)1/9
B)4/9
C)4 and 1/9

Answer 1

Hello.

A trinomial is a perfect square if the square root of the first term times the square root of the third term times 2 equals the middle term.


`\boxed{\mathsf{x^(2) + (2)/(3) x}}`

a) Adding 1/9:


`image`

b) Adding 4/9:


`image`

c) Adding 4 and 1/9:


`image`

Hope I helped.