Question

Which values of x are solutions to the equation below? Check all that apply. 10x² - 64 = 36

A) x = 2
B) x = -2
C) x = 4
D) x = -4

Answer 1

None of the options provided are correct. The actual solutions to the given quadratic equation, after simplification and applying the square root, are x = √10 and x = -√10, which are not among the choices offered.

Step-by-step explanation:

To find solutions to the equation 10x² - 64 = 36, we first need to simplify the equation by adding 64 to both sides of the equation to get 10x² = 100. Dividing both sides by 10 results in x² = 10. Taking the square root of both sides gives us two potential solutions: x = √10 and x = -√10. However, since √10 is approximately 3.162, neither x = 2 nor x = 4 are solutions, and because -√10 is approximately -3.162, neither x = -2 nor x = -4 are solutions either.

None of the provided options (A, B, C, D) are correct as the solutions to the equation are x = √10 and x = -√10.