SOLUTION: The difference between a number and its reciprocal is 55/24. Find then number? I did up to this: 24x(x - 1/x = 55/24)24x 24x^2

SOLUTION: The difference between a number and its reciprocal is 55/24. Find then number? I did up to this: 24x(x - 1/x = 55/24)24x 24x^2 - 24 = 55x Then???

Question 987947: The difference between a number and its reciprocal is 55/24. Find then number?
I did up to this:
24x(x - 1/x = 55/24)24x
24x^2 - 24 = 55x
Then???
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
Maybe you felt stuck too quickly.
x, the number
1/x, its reciprocal

-----Maybe this is factorable and maybe not.

Formula for general solution of quadratic equation:
Discriminant,

OR

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