Final answer:
The equation 64x² – 7 = 9 can be solved by isolating x², resulting in x² = 0.25. Taking both the positive and negative square roots of this number yields the solutions x = 0.5 and x = -0.5.
Step-by-step explanation:
To solve the equation 64x² – 7 = 9 using square roots, you first need to isolate x² on one side. Start by adding 7 to both sides of the equation to get 64x² = 16. Then, divide each side by 64 to get x² = 16/64 or x² = 0.25.
Now, take the square root of both sides. Considering both the positive and negative roots, we get x = √0.25 and x = -√0.25 , which simplifies to x = 0.5 and x = -0.5. Therefore, the solutions to the equation are x = 0.5 and x = -0.5.
Learn more about Solving Square Roots