Question

How do you solve `x^2-5=73`?

Answer 1

See the entire solution process below:

Explanation:

Because this equation has no `x` term we can solve directly for `x^2`. First, add `color(red)(5)` to each side of the equation to isolate the `x^2` ter while keeping the equation balanced:

`x^2 - 5 + color(red)(5) = 73 + color(red)(5)`

`x^2 - 0 = 78`

`x^2 = 78`

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 will have both a negative and positive answer:

`sqrt(x^2) = +-sqrt(78)`

`x = +-sqrt(78) = +-8.832` rounded to the nearest thousandth.