Math, asked by esha55, 1 year ago

if a,b,c are positively real number such that a+b-c/c=a-b+c/b=-a+b+c/a,find the value of (a+b)(b+c)(c+a)/abc

Answers

Answered by TNavya
11
and you can substitute the -1 in k you will get8
I hope it is useful to you
Attachments:

esha55: i dint understood and also u dint find out k
esha55: sry
esha55: u got -1
Ramesh1st: Yes,there is a solution if a=b=c.If a=b=c,then a+b-c/c=a-b+c/b=-a+b+c/a=1.
esha55: ok tq
Ramesh1st: a+b-c/c=1,a+b-c=c,a+b=2c.
esha55: tqq
TNavya: thank
Ramesh1st: Take a and b as c.Then ,a+b=2c,c+c=2c,2c=2c.If we substitute any number except 1 in place of K we will get wrong answer.
Ramesh1st: Therefore,K=1 and answer is 8.
Answered by Ramesh1st
7
a+b-c/c=a-b+c/b=-a+b+c/a=8.
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