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Question

If x2+y2=25,xy=12, then the number of values of x is

A
1
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B
2
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C
4
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D
0
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Solution

The correct option is C 4
x2+y2=25,xy=12
Substitute y=12x, we get
x2+[12x]2=25x4+14425x2=0
(x216)(x29)x2=16 and x2=9
x=±4 and x=±3

Total number of values of x is 4.

Hence, option C.

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