SOLUTION: The sum of a number and 25 times its reciproal is 10. Find the number.

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Question 140136: The sum of a number and 25 times its reciproal is 10. Find the number.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x+50/x=10
(x^2+50)x=10 cross multiply.
x^2+50=10x
x^2-10x+50=0
using the quadratic equation:x=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29 we get:
x=(10+-sqrt[-10^2-4*1*50])/2*1
x=(10+-sqrt[100-200])/2
x=(10+-sqrt-100)/2
x=(10+-10i)/2
x=10/2+-10i/2
x=5+-5i answers.