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Question: If a<sup>2</sup>x<sup>4</sup> + b<sup>2</sup>y<sup>4</sup> = c<sup>6</sup>, then maximum value of xy...

If a2x4 + b2y4 = c6, then maximum value of xy is :

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Answer
Explanation

Solution

a2x4 + b2y4 = c6

Q A.M ³ G.M.

̃ ³(a2x4)(b2y4)\sqrt { \left( a ^ { 2 } x ^ { 4 } \right) \cdot \left( b ^ { 2 } y ^ { 4 } \right) }

̃ ³ abx2y2

̃ ³ xy

¯

Max. Value