Question

64x^2-1=0

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation 64x^2 - 1 = 0, we can use the factoring difference of squares.

First, we rewrite the equation as (8x)^2 - 1^2 = 0.

This can be factored as (8x + 1)(8x - 1) = 0.

Setting each factor equal to zero, we have two possible solutions:

8x + 1 = 0: 8x = -1 => x = -1/8

8x - 1 = 0: 8x = 1 => x = 1/8

Therefore, the solutions to the equation 64x^2 - 1 = 0 are x = -1/8 and x = 1/8.