## anonymous 3 years ago Solve for x (x-2)^-4=625

1. anonymous

Do you know of x^-2 = 1/(x^2)?

2. anonymous

no I think the answer is x=7 is that correct

3. geerky42

$$(x-2)^4 =\dfrac{1}{625}$$ $$\sqrt[4]{(x-2)^4} = \sqrt[4]{\dfrac{1}{625}}$$ $$|x-2| = \dfrac{1}{\sqrt[4]{625}} = \dfrac{1}{5}$$ $$|x-2| = \dfrac{1}{5}$$

4. geerky42

5. geerky42

x= 7 is not correct.

6. anonymous

Ok I have math processong errors when you gave me thAt first reply and how do you get two solutions

7. geerky42

Look at last step. There is absolute value.

8. geerky42

Do you know how to get rid of absolute value?

9. anonymous

I can't see your last step because it all says math processing error

10. geerky42

11. anonymous

So then does x=.5 and x=-2 is that what you are meaning what the answers are

12. anonymous

Is that what you are meaing

13. anonymous

Can someone tell me if x=-2 and x=.2 are the answers to this problem