Question

How do you solve `x^ { 2} + 5^ { 3} = 269`?

Answer 1

See a solution process below:

Explanation:

First, evaluate the term `5^3`:

`x^2 + 5^3 = 269`

`x^2 + 125 = 269`

Next, subtract `color(red)(125)` from each side of the equation to isolate `x^2` while keeping the equation balanced:

`x^2 + 125 - color(red)(125) = 269 - color(red)(125)`

`x^2 + 0 = 144`

`x^2 = 144`

Now, take the square root of each side of the equation to solve for `x` while keeping the equation balanced. Remember, the square root of a number produces both a positive and negative result:

`sqrt(x^2) = +-sqrt(144)`

`x = +-12`