Find all real solutions of the equation. \frac{2x}{x^{2}+1}=1

ossidianaZ

ossidianaZ

Answered question

2021-09-17

Find all real solutions of the equation.
2xx2+1=1

Answer & Explanation

Adnaan Franks

Adnaan Franks

Skilled2021-09-18Added 92 answers

Step 1
The given equation is,
2xx2+1=1
On simplifying the equation, we get
2xx2+1=1
x2+1=2x
x22x+1=0
Step 2
Using the factorization method, on solving the given equation, we get
x22x+1=0
x2xx+1=0
x(x-1)-1(x-1)=0
(x-1)(x-1)=0
Therefore, the given equation is having one real solution as 1.

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