Question

) ଯଦି b, a ଓ ୯ ର ମଧୁସମାନୁପାତୀ ହୁଏ ତେବେ ପ୍ରମାଣ କରି ଯେ,
(ab+bc+ca) = abc (a+b+c);​

Answer 1

Answer:

We have,

If a+b+c+ab+bc+ca+abc=2005

We know that,

(a+1)(b+1)(c+1)=a+b+c+ab+bc+ca+abc+1

⇒(a+1)(b+1)(c+1)=2005+1

⇒(a+1)(b+1)(c+1)=2006

⇒(a+1)(b+1)(c+1)=2×17×59

⇒(a+1)(b+1)(c+1)=(1+1)(16+1)(58+1)

On comparing that,

a=1,b=16,c=58

Then,

a+b+c=1+16+58

a+b+c=75

Hence, this is the answer.

Answer 2

Answer:

ଯଦି b, a ଓ ୯ ର ମଧୁସମାନୁପାତୀ ହୁଏ ତେବେ ପ୍ରମାଣ କରି ଯେ,

(ab+bc+ca) = abc (a+b+c);

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