SOLUTION: Find the positive number which diminished by 14 is equal to 51 times the reciprocal of the number

Question 931674: Find the positive number which diminished by 14 is equal to 51 times the reciprocal of the number
Answer by ptfile(81) (Show Source): You can put this solution on YOUR website!
Let x = the original number
1/x = the reciprocal number

The positive number which diminished by 14 is equal to 51 times the reciprocal of the number.
x-14=51(1/x)
x-14=51/x
x(x-14)=51
x^2-14x=51
x^2-14x-51=0
(x-17)(x+3)=0
x=17
or
x=-3
The number is 17.
Check
17-14=51(1/17)
3=51/17
3=3
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