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If k^2 = m^2, which of the following must be true? [#permalink]
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 14 Oct 2015, 21:24
D
E
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Re: If k^2 = m^2, which of the following must be true? [#permalink]
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14 Oct 2015, 21:28
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|k| = |m| suffice the condition of k^2 = m^2.
so ans: E
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Re: If k^2 = m^2, which of the following must be true? [#permalink]
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14 Oct 2015, 22:21
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k^2=m^2 Taking the non negative square root of both sides of the equation , |k| = |m| Answer E
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Re: If k^2 = m^2, which of the following must be true? [#permalink]
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14 Oct 2015, 22:35
Bunuel wrote: If k^2 = m^2, which of the following must be true?
(A) k = m
(B) k = −m
(C) k = |m|
(D) k = −|m|
(E) |k| = |m|
Kudos for a correct solution. With Even powers of variables the signs can't be predicted about them Hence, We can't say anything about the sign of k and m being positive or negative therefore, Option A, B, C and D are ruled out as all these options are hinting towards specific and known sign of k and/or m For any sign of k and m, their absolute values must be same because k^2 = m^2, therefore, |k| = |m| Answer: Option E
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Re: If k^2 = m^2, which of the following must be true? [#permalink]
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15 Oct 2015, 00:11
Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer. If k^2 = m^2, which of the following must be true? (A) k = m (B) k = −m (C) k = |m| (D) k = −|m| (E) |k| = |m| Since k^2=m^2 we have 0=k^2 – m^2 =(k-m)*(k+m). So k=m or k=-m. So only (A) and only (B) cannot be an answer. The choice (C) tells us that k should be greater than or equal to 0. Similarly the choice (D) tells us that k should be less than or equal to 0. So neither (C) nor (D) cannot be the answer. The answer is, therefore, (E).
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Re: If k^2 = m^2, which of the following must be true? [#permalink]
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24 Oct 2015, 02:18
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Bunuel wrote: If k^2 = m^2, which of the following must be true?
(A) k = m
(B) k = −m
(C) k = |m|
(D) k = −|m|
(E) |k| = |m|
Kudos for a correct solution. As squaring hides the sign of a number, k^2 will equal m^2 for every possible positive/negative combination of the two values. The only statement we can make for sure is therefore (E) |k| = |m|.
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Re: If k^2 = m^2, which of the following must be true? [#permalink]
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15 Apr 2017, 21:34
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Re: If k^2 = m^2, which of the following must be true?
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15 Apr 2017, 21:34
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