SOLUTION: The sum of a number and it's reciprocal is 73/24. find the number.
Please help.
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Question 102680: The sum of a number and it's reciprocal is 73/24. find the number.
Please help.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The sum of a number and it's reciprocal is 73/24. find the number.
Please help.
:
x + =
:
Multiply equation by 24x and you have:
24x^2 + 24 = 73x
:
24x^2 - 73x + 24 = 0; our old friend, the quadratic equation
:
After some tedious figuring got it to factor to:
(8x - 3)(3x -8) = 0
8x = 3
x =
and
3x = 8
x =
:
Check solution using 8/3:
+ =
+ =
:
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