Solve (x^2(x-2))^3/sqrt(x+4)

Question

akashdeepdeb · Answer

Do you want to find domain or something?

mandre · Answer

The equation you give and your drawing is different. I presume the drawing is correct? You also don't indicate what you need to solve? Simplify? Find the derivative?

littlebird · Answer

It just says solve. Also, I forgot to draw the less than zero. My bad.

akashdeepdeb · Answer

|dw:1377066511809:dw|

littlebird · Answer

Yes. My paper says "solve the inequality."

akashdeepdeb · Answer

Do you have the Answer to this question in some answer key or something?

littlebird · Answer

Nope. That's why I'm stuck on this question. I have no way of finding out what it wants from me as an answer.

akashdeepdeb · Answer

See I don't want to confuse you or tell you something wrong!
But I got the answer as (0,2)
@ankit042 ?

littlebird · Answer

I'll try that for now. Thanks for helping. :)

akashdeepdeb · Answer

okay so here's what I did!
You can get 2 inequalities actually
In the denominator = x+4 > = 0
And the numerator remains as it is!

sirm3d · Answer

i think the answer is $$-4<x<2$$

sirm3d · Answer

correction.
$$(-4,0) \text{ or } (0,2)$$

littlebird · Answer

I'll probably find the answer tomorrow. Hopefully it's one of these.

akashdeepdeb · Answer

:)

mandre · Answer

y < 0 so x cannot be 0. sirm3d's first answer should then be the correct one:

-4 < x < 2

x > -4 to prevent the square root of a negative number and x < 2 as y = 0 if x = 2 and y < 0.