Respuesta :

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.

[tex]x^2=4[/tex]

Take the square root of both sides:

[tex]\begin{gathered} \sqrt{x^2}=\pm\sqrt{4} \\ \\ x=\pm2 \\ \\ x=-2\text{ and 2} \end{gathered}[/tex]

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

Hence, the given statement is FALSE.

ANSWER:

False