What are the roots of the equation x² = 9?

What are the roots of the equation x² = 9?

• A. x = 3 and x = -3
• B. x = 9 and x = -9
• C. x = 0 and x = 3
• D. x = 4 and x = -4

Answer: (A)

To find the roots of the equation \(x^2 = 9\), we need to isolate \(x\) by taking the square root of both sides. The square root of 9 can yield two possible values: \(3\) and \(-3\), since both \(3^2\) and \((-3)^2\) equal 9. Thus, the solutions to the equation \(x^2 = 9\) are indeed \(x = 3\) and \(x = -3\). This reasoned approach clarifies that the correct roots reflect the properties of square roots in real numbers, where each positive number has both a positive and a negative root. Hence, the response that identifies \(x = 3\) and \(x = -3\) correctly captures those solutions.

To find the roots of the equation (x^2 = 9), we need to isolate (x) by taking the square root of both sides. The square root of 9 can yield two possible values: (3) and (-3), since both (3^2) and ((-3)^2) equal 9. Thus, the solutions to the equation (x^2 = 9) are indeed (x = 3) and (x = -3).

This reasoned approach clarifies that the correct roots reflect the properties of square roots in real numbers, where each positive number has both a positive and a negative root. Hence, the response that identifies (x = 3) and (x = -3) correctly captures those solutions.