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Let x₁, x₂, x₃, x₄ and x₅ be 5 positive numbers such that x₁+2 x₂+3 x₃+4 x₄+5 x₅=15 and x₁ x₂^2 x₃^3 x₄^4 x₅^5=1 , then find the value of x₁+x₂+x₃+x₄+x₅ .

Correct answer

5

Step-by-step solution

aligned & x₁+2 x₂+3 x₃+4 x₄+5 x₅ 15 (x₁ x₂^2 x₃^3 x₄^4 x₅^5 )^ 1 15 & x₁=x₂=x₃=x₄=x₅=1 aligned

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