1) The difference between the positive number and its reciprocal
is 48/7find the numbere
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Answer:
7
Step-by-step explanation:
Let the number be x.
Reciprocal = 1/x
==: x - 1/x = 48/7
==: x² - 1 = 48x/7
==: 7x² - 7 - 48x = 0
==: 7x² - 48x - 7 = 0
==: 7x² - 49x + x - 7 = 0
==: 7x (x - 7) + 1(x - 7) = 0
==: (x - 7) (7x + 1) = 0
x = 7 (neglect -1/7 as it is negative)
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