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Question

The number of integral values of x for which x2+19x+92 is a perfect square is:

A
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B
1
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C
2
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D
3
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Solution

The correct option is A 0
The above quadratic equation can be expressed as : x2+19x+92=(x+192)2+923614
=(x+192)2+74

From the above expression, we can infer that no integer value of x will make it a perfect square because we have a fraction in the expression.

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