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Chapter 7: Problem 9

If \(x^2=25\), which of the following is true? $$ \begin{aligned} & \bigcirc x=5 \\ & \bigotimes x=-5 \\ & \hdashline x=\pm 5 \\ & \text { idon't know. } \end{aligned} $$

Short Answer

Expert verified
Therefore, the correct answer is \(x=\pm 5\).

Step by step solution

01

Identify the equation

The equation to solve here is \(x^2=25\), which is a standard form of a quadratic equation.
02

Square root both sides

To solve for \(x\), both sides of the equation could be square rooted. The equation now becomes \(x=\sqrt{25}\) which has two solutions: +5 or -5.
03

Choose Answer

From the options given, the symbol \(\hdashline\) indicates that both +5 and -5 are correct solutions. Therefore, \(x = \pm 5\) is the right choice.

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Most popular questions from this chapter

Which of the following is equivalent to \(x^{-2}\) ? $$ \begin{array}{r} -x^2 \\ \frac{1}{x^2} \\ \sqrt{x} \end{array} $$ I don't know.

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