KVPY #10

Algebra Level 3

If x 2 + 9 y 2 + 25 z 2 = x y z × ( 15 x x^{2} + 9y^{2} + 25z^{2} = xyz\times( \frac{15}{x} + 5 y \frac{5}{y} + 3 z \frac{3}{z} ) Then x , y , z x,y,z are in a/an ___________ . \text{\_\_\_\_\_\_\_\_\_\_\_} .

For more KVPY questions, see my set
Geometric progression Arithmetic Progression Arithmetico-Geometric Progression Harmonic Progression

Rahil Sehgal by Rahil Sehgal , 20, India

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Rahil Sehgal
Mar 27, 2017

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