What are the solutions to the equation x² - 16 = 0?

What are the solutions to the equation x² - 16 = 0?

• A. x = 0
• B. x = ±2
• C. x = ±4
• D. x = ±8

Answer: (C)

To find the solutions to the equation x² - 16 = 0, you can start by rearranging the equation into a more recognizable form. This can be done by adding 16 to both sides, leading to x² = 16. Next, the solutions for x can be derived by taking the square root of both sides. When you take the square root of a number, you consider both the positive and negative roots. Therefore, the square roots of 16 are 4 and -4. This means the solutions to the equation are x = 4 and x = -4, which can be expressed as x = ±4. This aligns perfectly with option C, which lists the correct solutions. The other options do not satisfy the equation when substituted back in, confirming that C is the correct choice.

To find the solutions to the equation x² - 16 = 0, you can start by rearranging the equation into a more recognizable form. This can be done by adding 16 to both sides, leading to x² = 16.

Next, the solutions for x can be derived by taking the square root of both sides. When you take the square root of a number, you consider both the positive and negative roots. Therefore, the square roots of 16 are 4 and -4. This means the solutions to the equation are x = 4 and x = -4, which can be expressed as x = ±4.

This aligns perfectly with option C, which lists the correct solutions. The other options do not satisfy the equation when substituted back in, confirming that C is the correct choice.