Question

    If (x²+y²+z²)/(xy+yz+zx) = 1

    Find (x+y)/z + (y+z)/x + (z+x)/y

    A 12 Correct Answer Incorrect Answer
    B 8 Correct Answer Incorrect Answer
    C 18 Correct Answer Incorrect Answer
    D 6 Correct Answer Incorrect Answer

    Solution

    let x = y = z = 2 x²+y²+z² = xy+yz+zx ⇒ (x+x)/x + (x+x)/x + (x+x)/x ⇒ 2 + 2 + 2 = 6

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