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Sub 505 Level|   Absolute Values|                           
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Jaival
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If k^2 = m^2, which of the following must be true? 04 Sep 2025, 21:28
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Can we take under root both sides as underoot of x^2=[x]?
KarishmaB


What does \(k^2 = m^2\) imply?

Only that |k| = |m|

(A) k = m
Not necessary e.g. k = 5, m = -5

(B) k = −m
Not necessary e.g. k = 5, m = 5

(C) k = |m|
Not necessary e.g. k = -5, m = 5

(D) k = −|m|
Not necessary e.g. k = 5, m = 5

(E) |k| = |m|
Always necessary. Note that absolute values of the two most be equal for the square to be equal. We cannot say anything about their signs though.

Answer (E)
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If k^2 = m^2, which of the following must be true? 04 Sep 2025, 23:24
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Jaival
Can we take under root both sides as underoot of x^2=[x]?

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Yes, it has already been answered in the thread. Please review the discussion.
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