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ShriyaMisra
Hi, I have a discrepancy with the answer and approach to the solution, it is not mentioned that [q] is absolute value of q, generally |q| is taken to be so. Also, in many cases the square brackets are used for greatest or smallest integer above or below a value type of questions, or it could simply mean square brackets. So i believe it is necessary for the symbol to be expressed correctly. Please correct me if I am wrong. :)

You are right. If it's meant to be the absolute value of q, then it should have been written as |q| NOT [q]. Edited.
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rishabhmishra
For how many integers, denoted by "q", is \(2^{|q|} =q^2\)?

A. ONE
B. TWO
C. THREE
D. FOUR
E. MORE THAN FOUR.

Here is the video explanation-


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rishabhmishra
For how many integers, denoted by "q", is \(2^{|q|} =q^2\)?

A. ONE
B. TWO
C. THREE
D. FOUR
E. MORE THAN FOUR.

Asked: For how many integers, denoted by "q", is \(2^{|q|} =q^2\)?

For q = 2, -2
\(2^{2} =2^2\)
For q = 4, -4
\(2^{4} =4^2\)

IMO D
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I understand the four choices, 2,-2,4,-4 but why not q=0
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Shaunak3004
I understand the four choices, 2,-2,4,-4 but why not q=0

When q =0,

LHS -> 2^|q| = 2^|0| = 2^0 = 1
RHS -> q^2 = 0^2 = 0

The LHS is not equal to RHS. In other words, q = 0 does not satisfy the given equation.
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