Question

Is the statement true or false?If x² = 4, then x canonly be equal to 2.FalseTrue

Answer 1

Given the statement:

If x² = 4, then x can only be equal to 2.

Let's determine if the statement is true or false.

Let's solve the given equation to confirm.

`x^2=4`

Take the square root of both sides:

`\begin{gathered} √(x^2)=\pm√(4) \\ \\ x=\pm2 \\ \\ x=-2\text{ and 2} \end{gathered}`

Therefore, if x² = 4, then x can be -2 or 2.

Hence, the given statement is FALSE.

ANSWER:

False