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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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