Ifa, b, care positive real numbers such that a+b-e-value of (a+bb+ec+a

1.	Ifa, b, care positive real numbers such that a+b-e-value of (a+bb+ec+a)a-b+ะก--a+b+c,find theabc
Answer» This is given thata ,b and c are real numberso that we can write like this a+b-c/c =a-b+c/b b(a+b-c)=c(a-b+c) ab+b^2-bc=ac-bc+c^2 ab-ac+b^2-c^2=0 a(b-c)+(b+c)(b-c)=0 (b-c)(a+b+c)=0 => b-c=0 => b=c Similarly c=a therefore a=b=c (a+b)(b+c)(c+a)/abc=(a+a)(b+b)(c+c)/abc 2a.2b.2c/abc =8abc/abc =8

Ifa, b, care positive real numbers such that a+b-e-value of (a+bb+ec+a)a-b+ะก--a+b+c,find theabc

Answer»

This is given thata ,b and c are real numberso that we can write like this a+b-c/c =a-b+c/b

b(a+b-c)=c(a-b+c)

ab+b^2-bc=ac-bc+c^2

ab-ac+b^2-c^2=0

a(b-c)+(b+c)(b-c)=0

(b-c)(a+b+c)=0

=> b-c=0

=> b=c

Similarly c=a

therefore a=b=c

(a+b)(b+c)(c+a)/abc=(a+a)(b+b)(c+c)/abc

2a.2b.2c/abc =8abc/abc