Question

Solve 64x²=49
a. x = 7/8
b. x = -7/-8
c. x = 1/8
d. x = -1/-8

Answer 1

To solve the equation 64x² = 49a, divide both sides by 64 and take the square root of both sides. The solutions for x are ±√((49/64)a). The correct answer is x = 7/8.

Step-by-step explanation:

To solve the equation 64x² = 49a, we need to isolate the variable x. First, divide both sides by 64 to get x² = (49/64)a. Take the square root of both sides to eliminate the square, resulting in x = ±√((49/64)a). Therefore, the solutions for x are ±√((49/64)a).

In the given options, x = 7/8 and x = -7/-8 are equivalent, so the correct answer is a. x = 7/8.