the sum of a number and its reciprocal is 29 / 10 then the number or
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Answer:
the no. is 5/2 or 2/5
Step-by-step explanation:
rohith94431:
how
Answered by
11
Given - Sum
Find - Number and its reciprocal
Solution - The number and its reciprocal is 50/20 and 20/50 or 8/20 and 20/8.
Let the number be x. So it's reciprocal be will be 1/x.
Now, representing the given information in mathematical expression, we get -
x + 1/x = 29/10
Multiplying the equation with 10x.
10x² + 10 = 29x
Shifting the value 29x on Left Hand Side
10x² - 29x + 10 = 0
Solving the above-mentioned equation to find the value of x
x = 50/20 and 8/20
So, the number and its reciprocal is 50/20 and 20/50 or 8/20 and 20/8.
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