Question

What is the solution set for the following equation?
x² = 16

Answer 1

x = 4

Explanation:

x² = 16

We do the opposite of x² , so we
`√(x)` (square root) both sides

`√(x)` =
`√(16)` = 4

to confirm this, we can square 4, which gets us 16.

Hope this makes sense! Feel free to ask anything further if need be.

- profparis

Answer 2

`\{4,-4\}`

Explanation:

`~~~~x^2 = 16\\\\\implies x = \pm√(16)\\\\\implies x =\pm 4\\\\\implies x = 4 ,~ x = -4`