Question

Please help Solve the equation using inverse operations. Check your solutions. In your final answer, include all of your work.

2 + x^3 = 18 solve for x

Answer 1

Explanation:

In order to solve for x, we have to get it on one side of the equals sign all by itself. That means we need to move the 2. The 2 is a positive on the left, so to move it, we have to take the opposite of that positive which is negative (or subtraction). Subtracting 2 from both sides gives us

`x^3=16` (Are you sure that the power isn't supposed to be a 2 and you mistyped?)

Now we have to "undo" that cubed power by taking the cubed root of both sides. The cubed root of x-cubed is just x, since taking the cubed root undoes the cubing (just like taking a square root undoes the squaring). On your calculator we find the cubed root of 16 to be 2.5198421

(Again, I'm thinking you had a typo here because while 16 does not have a perfect cube, it does have a perfect square. The square root of 16 is both the positive and the negative of 4.)