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sqrt(x^2)=x Which of the following val...

`sqrt(x^2)=x`
Which of the following values of x is NOT a solution to the equation above?

A

`-4`

B

0

C

1

D

3

Text Solution

Verified by Experts

The correct Answer is:
A
The square root symbol represents the principal, or nonnegative, square root. Therefore, the equation `sqrt(x^2)` = x is only true for values of x greater than or equal to 0. Thus, −4 isn’t a solution to the given equation.
Choices B, C, and D are incorrect because these values of x are solutions to the equation `sqrt(x^2) = x` . Choosing one of these as a value of x that isn’t a solution may result from incorrectly using the rules of exponents or incorrectly evaluating these values in the given equation.
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