Question Details

If x=11, determine the value of x+1x.

Options

A

121111

B

111112

C

131111

D

141111

Show Answer

Correct Answer :

Option A

121111

Solution :

The correct answer is 121111.

Step 1: Find the value of 1x and rationalize the denominator.

We are given:

x=11

Taking the reciprocal of x:

1x=111

Rationalize the denominator by multiplying both the numerator and the denominator by 11:

1x=1×1111×11=1111

Step 2: Compute the sum x+1x.

Now, substitute the values of x and 1x into the given expression:

x+1x=11+1111

To add these terms, convert 11 to a fraction with a common denominator of 11:

x+1x=111111+1111

Combine the numerators:

x+1x=1111+1111

x+1x=121111

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