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Question

Number of integral values of x satisfying [x22]29[x22]+14=0, where [.] is greatest integer function

A
1
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B
2
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C
3
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D
4
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Solution

The correct option is B 2

[x22]29[x22]+14=0
Let [x22]=m
m29m+14=0
m27m2m+14=0
m(m7)2(m7)=0
(m7)(m2)=0
m=7 or m=2
[x22]=7 or [x22]=2
Possible integral values of x are: 3 , 2
Answer: option (B).


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