perplexus.info :: Just Math : Absolute Rational Relations

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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