## farmergirl411 Group Title Solve for x (x-2)^-4=625 one year ago one year ago

1. cluo Group Title

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

2. farmergirl411 Group Title

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

3. geerky42 Group Title

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

4. geerky42 Group Title

5. geerky42 Group Title

x= 7 is not correct.

6. farmergirl411 Group Title

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

7. geerky42 Group Title

Look at last step. There is absolute value.

8. geerky42 Group Title

Do you know how to get rid of absolute value?

9. farmergirl411 Group Title

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

10. geerky42 Group Title

11. farmergirl411 Group Title

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

12. farmergirl411 Group Title

Is that what you are meaing

13. farmergirl411 Group Title

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