Question

How do you solve `x^2-2=17`?

Answer 1

See the entire solution process below:

Explanation:

First, add `color(red)(2)` to each side of the equation to isolate `x^2` while keeping the equation balanced:

`x^2 - 2 + color(red)(2) = 17 + color(red)(2)`

`x^2 - 0 = 19`

`x^2 = 19`

Now, take the square root of each side of the equation to solve for `x` while keeping the equation balanced. Also remember, the square root of a number has both a negative and positive answer:

`sqrt(x^2) = +-sqrt(19)`

`x = +-sqrt(19) = +-4.359` rounded to the nearest thousandth.