If x2+k=G and x is an integer, which of the following could be the value of G−k?
A
7
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B
8
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C
9
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D
10
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E
11
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Solution
The correct option is D9
x2+k=G
x2=G−k
Because you know that x is an integer, x2 is a perfect square (the square of an integer). Therefore, G−k is also perfect square. The only perfect square among the answer choices is (C), 9