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If w 0, what is the value of w?

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Re: If w 0, what is the value of w? [#permalink]
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Statement 1 :
-> $$w < 0$$ as we'd add (subtract the negative $$w^3$$) to the always positive $$w^2$$ resulting in a positive number.
-> and $$0 < w < 1$$ as we will always subtract a fraction smaller than $$w^2$$, resulting in a positive number.
INSUFFICIENT

Statement 2 :
-> $$w$$ can be either $$-\frac{1}{4}$$ or $$\frac{1}{4}$$.
INSUFFICIENT

Combined :
The two values Statement 2 gives us are both valid under Statement 1.
INSUFFICIENT

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Re: If w 0, what is the value of w? [#permalink]
gmatophobia can you elaborate statement 1?
we have w>0 and w<1 that is 0<w<1
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Re: If w 0, what is the value of w? [#permalink]
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Re: If w 0, what is the value of w? [#permalink]
If $$w ≠ 0$$, what is the value of $$w$$?

(1) $$w^2 – w^3 > 0……..w^2(1-w)>0$$
Now $$w^2>0$$, so $$1-w>0$$ or $$w<1$$
w could be anything less than 1.
Insufficient

(2) $$w^4 = \frac{1}{256}……….w^4=(\frac{1}{6}^4=(\frac{1}{-6})^4$$
So w is either $$\frac{1}{6}$$ or $$\frac{1}{-6}$$
Insufficient

Combined
Even after combining, w can be either $$\frac{1}{6}$$ or $$\frac{1}{-6}$$
Re: If w 0, what is the value of w? [#permalink]
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