The utility boy of a certain school follow the request of the principal to divide the 4m waterpipe into two parts so that the sum of the reciprocal is 1,What will be the measures of two part the water pipe?show your solution.
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Answer:
x + y = 4
1/x + 1/y = 1
1/(4-y) + 1/y = 1
y + (4-y) = y(4-y)
4 = 4y - y²
y² - 4y + 4 = 0
y = 2
Then x = 2