QuestionSolve the equation $x^{3}=6$ for $x$ . What are the possible values of $x$ ?

Studdy Solution

STEP 1

Assumptions1. We are solving the equation $x^{3}=6$ for $x$ . . We are looking for all possible real solutions.

STEP 2

We can solve this equation by taking the cube root of both sides. The cube root of a number is the value that, when cubed, gives the original number. $x = \sqrt[]{6}$

STEP 3

However, we have to consider that the cube root function can also yield a negative result. This is because a negative number cubed also gives a positive result. Therefore, we have two possible solutions for $x$ $x = \sqrt[3]{6}$ $x = -\sqrt[3]{6}$ These are the solutions to the equation $x^{3}=6$ .

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms