Solving for k1 and k2 in Case Analysis of (|k1|)(|k2|)=1 without Quotation Marks

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The discussion focuses on solving the equation (|k1|)(|k2|)=1, concluding that k1 and k2 must equal +/- 1. The participants clarify that to demonstrate this, one must analyze four specific cases: k1 = 1, k2 = 1; k1 = -1, k2 = 1; k1 = 1, k2 = -1; and k1 = -1, k2 = -1. It is established that k1 and k2 are integers for the equality to hold true, as the statement does not apply to non-integer values.

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fk378
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If (|k1|)(|k2|)=1, show k1, k2= +/- 1

I don't know how to show that abs value of k1=abs value k2=1.
 
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fk378 said:
I don't know how to show that abs value of k1=abs value k2=1.
You don't need to do that. You have to consider four cases: k1 = 1, k2 = 1; k1 = -1, k2 = 1; etc. For each case, you have to show that the equality holds.
 
I'm assuming k1 and k2 are integers by the way. Otherwise, the statement is false.
 

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