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If X=(-37)^1/5 which of the following is true?
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Updated on: 29 Sep 2017, 08:16
Updated on: 29 Sep 2017, 08:16
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40% (01:56) correct
60% (01:54) wrong based on 5 sessions
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Hello there,
If \(X=(-37)^{\frac{1}{5}}\) which of the following is true?
A. \((-x)^1/2 > 2\)
B. \(x^2 > -2\)
C. \(x^2 < 4\)
D.\(x^3 < -8\)
E. \(x^4 > 32\)
I did not understand how it is derived.
can anyone help?
Thankyou!
If \(X=(-37)^{\frac{1}{5}}\) which of the following is true?
A. \((-x)^1/2 > 2\)
B. \(x^2 > -2\)
C. \(x^2 < 4\)
D.\(x^3 < -8\)
E. \(x^4 > 32\)
I did not understand how it is derived.
can anyone help?
Thankyou!
Originally posted by Aravindan on 21 Sep 2016, 06:53.
Last edited by IlCreatore on 29 Sep 2017, 08:16, edited 2 times in total.
Last edited by IlCreatore on 29 Sep 2017, 08:16, edited 2 times in total.
Edited by Carcass
Re: Single Choice- Algebra
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21 Sep 2016, 07:10
21 Sep 2016, 07:10
1
Expert Reply
Aravindan wrote:
Hello there,
If X=(-37)^1/5 which of the following is true? (It is fifth root of 37 with a negative sign, just in case.)
A. (-x)^1/2 >2
B. x^2>-2
C. x^2<4
D. x^3<-8
E. x^4>32
I did not understand how it is derived.
can anyone help?
Thankyou!
If X=(-37)^1/5 which of the following is true? (It is fifth root of 37 with a negative sign, just in case.)
A. (-x)^1/2 >2
B. x^2>-2
C. x^2<4
D. x^3<-8
E. x^4>32
I did not understand how it is derived.
can anyone help?
Thankyou!
Dear Aravindan,
Please share the source of the question. It seems a bit ambiguous to be a GRE question.
In the equation above x has 5 values. 1 real and 4 imaginary. If we consider the real value. The real value would be a little less than -2 (as \(2^5=32\)). Putting x=-2.1 (say).
Only option D is satisfied.
Hence option D is a possible solution.
Re: If X=(-37)^1/5 which of the following is true?
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12 Nov 2016, 04:27
12 Nov 2016, 04:27
1
I think option (B) also holds true. lets say as explained by Sandy X= (-2.1) then X^2 = 4.41 which means X^2 >-2 . Option (D) is also correct.
