If b is the mean proportion between a and c, show that:(a^4 + a^2 b^2 + b^4) / (b^4 + b^2 c^2 + c^4) = a^2 / c^2

Question

KnowledgeBoat · Accepted Answer

Given, Since b is the mean proportional between a and c, we have ⇒ a : b :: b : c ⇒ ⇒ b2 = ac Substituting value of b2 in , we get : Hence, proved that .

Mathematics

If b is the mean proportion between a and c, show that:(a^4 + a^2 b^2 + b^4) / (b^4 + b^2 c^2 + c^4) = a^2 / c^2

Ratio Proportion

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