Question

Solve 169x2 − 16 = 0 by using square roots.

A. ±13/4
B. ±169/16
C. No solution
D. ±4/13

Answer 1

Option D,
`x =` ±
`4/13`

Explanation:

Step 1: Add 16 to both sides

`169x^2 - 16 = 0`

`169x^2 - 16 + 16= 0 + 16`

`169x^2 = 16`

Step 2: Divide 169 from both sides

`(169x^2)/(169) = (16)/(169)`

`x^2 = 0.09467`

Step 3: Square root both sides

`√(x^2) = √(0.09467)`

`x =` ±
`0.30769`

`x =` ±
`4/13`

Answer: Option D,
`x =` ±
`4/13`