Sum of twice a fraction and 5 times its reciprocal is 7. What is the fraction?
A) 2/5 B) 5/4 C) 5/2 D) 4/5
Answers
Answered by
1
Answer:
5/4
Step-by-step explanation:
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Answered by
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Let the fraction be x
2x + ( 5 × 1/x ) = 7
2x + 5/x = 7
2x² + 5 = 7x
2x² – 7x + 5 = 0
2x² – 5x – 2x + 5 = 0
x ( 2x – 5 ) – 1 ( 2x – 5 ) = 0
( 2x – 5 ) ( x – 1 ) = 0
Hence
2x – 5 = 0
2x = 5
x = 5/2 is the fraction
( C ) is the correct answer.
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