SOLUTION: The sum of the reciprocals of twice a number and that number squared is 3/4. Find that number. Write an equation and solve algebraically.

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Question 1077526: The sum of the reciprocals of twice a number and that number squared is 3/4. Find that number. Write an equation and solve algebraically.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%282x%29%2B%281%2Fx%29%5E2=3%2F4

Simplest common denominator is 4x%5E2.

4x%5E2%281%2F%282x%29%2B1%2F%28x%5E2%29%29=4x%5E2%283%2F4%29

2x%2B4=3x%5E2

3x%5E2-2x-4=0
Continue from there...