The sum of a number and its reciprocal is 2 1/20.the number is?
Answers
Answered by
15
Answer:
Let the number = x
Then the reciprocal = 1/x
Given,
x + 1/x = 2 1/20
x + 1/x = 41/20
x² + 1/x = 41/20
20x² + 20 = 41x
20x² - 41x + 20 = 0
(5x - 4)(4x - 5) = 0
Since the product = 0,
One of the numbers = 0
x = 4/5 or 5/4
Hope it helped you!
Answered by
0
Answer:
Step-by-step explanation:
Let the number = x
Then the reciprocal = 1/x
Given,
x + 1/x = 2 1/20
x + 1/x = 41/20
x² + 1/x = 41/20
20x² + 20 = 41x
20x² - 41x + 20 = 0
(5x - 4)(4x - 5) = 0
Since the product = 0,
One of the numbers = 0
x = 4/5 or 5/4
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