Provide non-trivial solution of the following: a/(b+c)=b/(c+a)=c/(a+b), a=?,b=?,c=?

souta5

souta5

Answered question

2022-09-10

Provide non-trivial solution of the following:
a b + c = b c + a = c a + b
a = ? , b = ? , c = ?

Answer & Explanation

Raina Russo

Raina Russo

Beginner2022-09-11Added 20 answers

HINT:
a b + c = b c + a = c a + b = a + b + c b + c + ( c + a ) + ( a + b )
Similarly, F = a b + c = b c + a = a b b + c ( c + a )
Either a = b or F = 1
Hope these should help
geneth1u

geneth1u

Beginner2022-09-12Added 1 answers

a b + c = b c + a = c a + b = t
Then
a + b t + c t = 0
a t b + c t = 0
a t + b t c = 0

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