Is it true or false that `(x^2+1)/(x+1) = x`

Asked on by spock14

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justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

It is not true that `(x^2+1)/(x+1) = x` for all values of x.

If `(x^2+1)/(x+1) = x`

=> `x^2 + 1 = x^2 + x`

=> `x = 1`

Only for x = 1, `(x^2+1)/(x+1) = x` . This is not the case for a general value of x.

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classsic | Student, Undergraduate | (Level 3) eNoter

Posted on

no (x^2+1)/(x+1)

= (x-1)(x+1)/(x+1)

the (x+1) in the denominator and numerator cancel out, so you are left with x-1 which is the answer.


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