SOLUTION: Will you please help me with this problem because i became confused. Here is the problem: A number added to four times its reciprocal is equal to the sum of 3/2 and the quotient of
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-> SOLUTION: Will you please help me with this problem because i became confused. Here is the problem: A number added to four times its reciprocal is equal to the sum of 3/2 and the quotient of
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Question 1046060: Will you please help me with this problem because i became confused. Here is the problem: A number added to four times its reciprocal is equal to the sum of 3/2 and the quotient of two more than three times the same number and four. What is the number?
You can put this solution on YOUR website! let x be the number, then
:
1) x + (4/x) = (3/2) + ( (2 +3x) / 4 )
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multiply both sides of = by 4x
:
4x^2 +16 = 6x +2x +3x^2
:
x^2 -8x +16 = 0
:
(x-4) * (x-4) = 0
:
x = 4
:
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The number is 4
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substitute for x in 1)
:
5 = (6/4) + (14/4)
:
5 = 5
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our answer checks :-)
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