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If alpha , beta , gamma are the root...

If ` alpha , beta , gamma ` are the roots of ` x^3 - 6x^2 +11 x-6=0` then find the equation whose roots are
` alpha^2 + beta^2, beta^2 + gamma^2 , gamma^2 + alpha^2`

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The correct Answer is:
`x^3 -28x^2 + 245 x -650 =0`
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