Multiple choice

For the quadratic equation $ x^{2} - 2x +1= 0$, the value of $x+\dfrac{1}{x}$ is :

  1. $-1$
  2. $1$
  3. $2$
  4. $-2$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

x^2 - 2x + 1 = 0 is (x-1)^2 = 0, so x = 1. Then x + 1/x = 1 + 1/1 = 2.

AI explanation

Factoring the quadratic equation x^2 - 2x + 1 = 0 yields (x - 1)^2 = 0, giving the double root x = 1. Substituting this value into the expression x + 1/x gives 1 + 1/1. The result is 2.

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