Question

Solve by factoring64x^2-1=0

Answer 1

Given:

`64x^2-1=0`

Required:

To solve the given equation by factoring method.

Step-by-step explanation:

Consider

`64x^2-1=0`
`\begin{gathered} (8x)^2-1^2=0 \\ (8x+1)(8x-1)=0 \\ \\ 8x+1=0 \\ 8x=-1 \\ x=-(1)/(8) \end{gathered}`

And

`\begin{gathered} 8x-1=0 \\ 8x=1 \\ x=(1)/(8) \end{gathered}`

Final Answer:

`x=-(1)/(8),(1)/(8)`