Math, asked by ankit5869, 9 months ago

The sum of a number and its reciprocal is 2, then the number​

Answers

Answered by rathibhagwati3
1

Answer:

Step-by-step explanation:

Let, the no. be x.

Reciprocal would be 1/x.

=> x+1/x = 2

=> x²+1/x = 2

=> x²+1 = 2x

=> x²-2x+1 = 0

=> x²-x-x+1 = 0

=> x(x-1)-1(x-1) = 0

=> (x-1) (x-1) = 0

=> x = 1

The number is 1.

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