A certain positive real number (x) has the property that the sum with its reciprocal is equal to the reciprocal of the difference between the number and its reciprocal. Write an expression for the solution for x.

sdentatoiz

sdentatoiz

Answered question

2022-09-07

A certain positive real number (x) has the property that the sum with its reciprocal is equal to the reciprocal of the difference between the number and its reciprocal. Write an expression for the solution for x.

Answer & Explanation

empatiji2v

empatiji2v

Beginner2022-09-08Added 18 answers

Let number be x then,
x + 1 x = 1 x 1 x ( x + 1 x ) ( x 1 x ) = 1 ( x + 1 x ) = 1 x 1 x x 2 1 x 2 = 1 t = 1 + 5 2 t = x 2 = 1 + 5 2 x = ± 1 + 5 2

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?