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Absolute Rational Relations (
Posted on 2024-05-20
)
Let a and b be real numbers such that:
a/b + b/a = 13/6
Find the value of
|(a + b)/(a - b)|
No Solution Yet
Submitted by
Danish Ahmed Khan
Rating:
4.0000
(1 votes)
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solution
Comment 3 of 3 |
let c = a/b
c^2 - 13/6 c + 1 = 0
c = 13/12 ± (1/2)√(169/36 - 144/36)
c = 13/12 ± (1/2)√(25/36)
c = 13/12 ± 5/12 = {2/3, 3/2}
let a=3, b=2.
Answer:
5
Posted by
Larry
on 2024-05-20 08:05:38
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