Question

Solve the equation n2 − 29 = 260 by using square roots.

A. n = ±17
b. n = ±19
c. no real solutions
d. n = ±18

Answer 1

Option A,
`n =` ±
`17`

Explanation:

Step 1: Add 29 to both sides

`n^2 - 29 = 260`

`n^2 - 29 + 29 = 260 + 29`

`n^2 = 289`

Step 2: Square root both sides

`√(n^2) = √(289)`

`n =` ±
`17`

Answer: Option A,
`n =` ±
`17`