Question

Does the sentence given below contain an error. If it does, explain what the error is. Since the expression x^2+13x+36 factors into (x+4)(x+9), the roots of the expression are 4 and 9

Answer 1

The sentence contains an error

The error is that the values of x are incorrect

Explanation:

Given

`Expression: x^2+13x+36`

`Factors: (x + 4)\ and\ (x + 9)`

`x = 4\ or\ 9`

Does the statement have an error? Yes, it has.

Where?

Given that the factor are:

(x + 4) and (x + 9)

Equate these two to 0

`x + 4 = 0` or
`x + 9 = 0`

`x = -4` or
`x = -9`

The correct values of x are in contrary to what is given in the statement

Hence;

The error is that the values of x are incorrect