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Let a,b,c and d are real numbers in GP. ...

Let a,b,c and d are real numbers in GP. Suppose u,v,w satisfy the system of equations `u+2y+3w=6,4u+5y+6w=12` and `6u+9v=4`. Further consider the expressions
`f(x)=(1/u+1/v+1/w)x^(2)+[(b-c)^(2)+(c-a)^(2)+(x-b)^(2)]`
`x+u+v+w=0` and `g(x)=20x^(2)+10(a-d)^(2)x-9=0`
`(b-c)^(2)+(c-a)^(2)+(d-b)^(2)` is equal to

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
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