Positive number that is two bigger than it’s reciprocal

Question

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Answer 1

x = 1/x + 2

 

Solve for x:

 

Multiply both sides by x:

 

x² = 1 + 2x

x² - 2x - 1 = 0

 

Using quadratic formula:

 

x = 1 +/- sqrt(2)

 

Choose the positive solution:

 

x = 1 + sqrt(2)

 

x = 2.4142