HoodRicch12
Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

the sum of a number and its reciprocal is 2whole number 1 over 6. Find that number​

Sagot :

sqdancefan

Answer:

  2/3 or 3/2

Step-by-step explanation:

Let x represent the number. The given relation is ...

  x +1/x = 2 1/6

  x^2 +1 = (13/6)x

  6x^2 -13x +6 = 0 . . . . . subtract the right side and multiply by 6

  (6x -9)(6x -4)/6 = 0 . . . . factor

  (2x -3)(3x -2) = 0 . . . . . . simplify a bit

  x = 3/2  or  2/3 . . . . . . . . values of x that make the factors zero

The number is 2/3 or its reciprocal, 3/2.

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.