if a×=b y=c z and b²=a∗c,prove that y=2xz/z+x

answer this question please ​

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1. Answer:

   Given ax = by = cz and b2 = ac

   Let ax = by = cz = k

   Consider, ax = k ⇒ a = k1/x

   Similarly, we get b = k1/y and c = k1/z

   Now consider, b2 = ac

   ⇒ (k1/y)2 = (k1/x)(k1/z)

   ⇒ k2/y = k1/x + 1/z

   Comparing both the sides, we get

   (2/y) = (1/x) + (1/z)

   ⇒ (2/y) = (x + z)/xz

   ∴ y = (2xz)/(x + z)

   Step-by-step explanation:

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