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Question

If x=7+43, then the value of (x+1x) is equal to

A
4
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B
6
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C
3
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D
2
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Solution

The correct option is A 4
Given, x=7+43
1x = 17+43
Now, x+1x =7+43 + 17+43
After squaring both sides we get
(x+1x)2 =(7+43)2 + (17+43)2+2

= 7+43+17+43+2

= (9+43)(7+43)+17+43

= 112+6437+43=16

Taking square roots on both sides, we get
(x+1x) = + 4
Hence, option A is correct.

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