## storyw4 3 years ago solve for w.

1. storyw4

|dw:1344742023146:dw|

2. vf321

$\frac{u^2}{(w-2)^2}=v$Implied domain w!=2 $u^2=v(w-2)^2$Multiplied (w-2) on both sides

3. vf321

Now. What do you think we divide by on both sideS?

4. storyw4

v?

5. vf321

yes. You get: $u/v = (w-2)^2$ Now you need to perform a certain operation to both sides to get rid of the ^2...

6. storyw4

square root

7. vf321

Yes. You get: $\sqrt{u/v}=\sqrt{(w-2)^2}$

8. vf321

Now, what's sqrt(x^2)=?

9. vf321

I assume you're in reals domain

10. storyw4

yeah i am and just x

11. vf321

Not quite. what's sqrt((-5)^2)?

12. storyw4

25

13. vf321

no...

14. storyw4

5

15. vf321

yes. And now that you've seen that, what do you think sqrt(x^2) is? it's not just x, since then the answer to sqrt((-5)^2) would be -5...

16. storyw4

+/- x

17. vf321

Well, sort of. For $x \epsilon R$$\sqrt{x^2}=|x|$

18. vf321

But anyways, whats our 'x' in the problem?

19. storyw4

20. vf321

Well what I got was $\pm \sqrt{u/v}-2$

21. storyw4

22. vf321

That's the same thing.

23. storyw4

i htought yours was a negative 2

24. vf321

Oh yeah it was . Typo, my bad.

25. storyw4

so is my picture correct?

26. vf321

Yeah.

27. storyw4

thanks