Question

For the rational equation, x^2+5x+6/x+3=1 , what is a valid value of x?.

Answer 1

the correct answer is -1.

Answer 2

B. -1

Explanation:

We have the equation,
`(x^(2)+5x+6)/(x+3)=1`.

Now, factorizing the polynomial
`x^(2)+5x+6`, we get that the factors of the polynomial are (x+3) and (x+2).

So, we get,

`(x^(2)+5x+6)/(x+3)=1`

i.e.
`((x+3)(x+2))/(x+3)=1`

i.e. x + 2 = 1

i.e. x = -1.

Hence, we get that the value of x is -1.