Question

Solve
(x-2)4 (cube)=81

Answer 1

take a screenshot of the original question.I am having trouble intercept the problem :/

Answer 2

Can we assume that because you haven't answered that Directrix got it right? ^

Answer 3

Where's the draw tab?

Answer 4

Yes he got is some what but there's no 3 and he forgot "=81" at the end

Answer 5

The draw tab will be under the text box that you are typing in,

Answer 6

Well I'm using a phone, I don't think they have draw tabs for it :(

Answer 7

Well, if there is no 3, then what does the cube mean.

Answer 8

Sorry I got it mixed with another problem. I mean 4 to the fourth power

Answer 9

(x-2)4 (four to the fourth power)= 81

Answer 10

Now we are getting somewhere.

Answer 11

(x-2)4 (cube)=81 should be handwritten (use the Draw utility, below) , or

typed in as (x-2)^4 = 81. If you want to be fancy, use Equation Editor, below:\[(x-2)^4=81\]

Answer 12

If you take the fourth root of the left side of this equation, you will have isolated (x-2). You must also take the fourth root of 81, which, by the way, has more than one answer.

Find all values of x for which \[(x-2)^4=81\]

Answer 13

is true.

Answer 14

@math make that's exactly what the problem looks like.
I'm new to openstudy

Answer 15

@mathmale **

Answer 16

I'd be glad to help, but am unsure of what you're asking me for.

Answer 17

I need help solving the problem. That's all the problem ask
Solve (x-2)^4=81

Answer 18

"Solving" an equation implies the need to isolate the unknown. In this case, that unknown is x. What's the value (or, what are the values) of x that satisfy the original equation?

Answer 19

Just as an example: let x=1 and test this to see whether it is indeed a solution of the given equation.

Solve
(x-2)4 (cube)=81 Let x=1, which leads to (1-2)^4=81.

that's (-1)^4 = 81, or 1=81. Obviously not true, and so x=1 is not a solution.

Answer 20

As before, this equation should be displayed as \[(x-2)^4=81.\]

Answer 21

We need to isolate x-2, and then, in turn, to isolate x.

Taking the 4th root of both sides of the equation:\[\sqrt[4]{(x-2)^4}=\pm \sqrt[4]{81}\]

Answer 22

the left side of the equation becomes simply x-2.
The right side becomes\[\pm \sqrt[4]{3^4}, \]

Answer 23

since 3^4 = 81 = 3*3*3*3

Answer 24

so we end up with \[x-2=\pm2\]

Answer 25

Solve this for x.

We end up with what?

Note that because 81= 3^4, the maximum number of solutions could be 4.

We're not finished until we've checked both x=3 and x=-3.

Try it.

Write the set that represents all of the solutions.