Q:

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

Accepted Solution

A:
Answer:Step-by-step 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[tex]x^3=16[/tex] (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.)