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If alpha ,beta,gamma are the roots of ...

If `alpha ,beta,gamma` are the roots of
` x^3 -7x +6=0 ` then find the equation whose roots are `(alpha-beta)^2 ,(beta-gamma)^2,(gamma-alpha)^2`

A

`x^(3) - 42x^(2) + 441x - 400 = 0 `

B

`x^(3) + 42x^(2) + 441x - 400 = 0`

C

`x^(3) + 28x^(2) + 245x - 650 = 0 `

D

` x^(3) - 28x^(2) + 245x - 650 = 0`

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DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1B
  1. If alpha, beta , gamma are the roots of x^(3) + 3px + q = 0 then the...

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  2. If alpha, beta , gamma are the roots of x^(3) + 3x + 2 = 0 then the e...

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  3. If alpha ,beta,gamma are the roots of x^3 -7x +6=0 then find the eq...

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  4. If alpha , beta , gamma are the roots of x^3 + 4x +1 =0 then th...

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  5. If alpha , beta , gamma are the roots of x^3 +x^2 + 2x +3=0 th...

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  6. If alpha, beta , gamma are the roots of x^(3) + 2x^(2) - 3x + 4 = 0 th...

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  7. If alpha, beta , gamma are the roots of x^(3) - 2x^(2) + 3x + 5 = 0 th...

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  8. If alpha, beta,gamma are the roots of x^3-6x^2+11x-6=0 then find t...

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  9. If alpha , beta , gamma are the roots of x^3 -6x -4=0 then th...

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  10. If alpha, beta , gamma are the roots of x^(3) + 2x^(2) - 5x + 3 = 0 th...

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  11. If alpha, beta , gamma are the roots of x^(3) + 3px^(2) + 3px + r = 0 ...

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  12. If alpha ,beta,gamma are the roots of x^3+px^2+qx+r=0 , then form the...

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  13. If alpha , beta , gamma are the roots of the equation x^3 +p...

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  14. The roots of 4x^(3) - 13x^(2) - 13x + 4 = 0 are

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  15. The roots of 2x^(4) + x^(3) - 6x^(2) + x + 2 = 0 are

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  16. The roots of x^(4) - 10x^(3) + 26x^(2) - 10x + 1 = 0 are

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  17. The roots of x^(4) - 12x^(3) + 34x^(2) - 12x + 1 = 0 are

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  18. The roots of 6x^(4) - 5x^(3) - 38x^(2) - 5x + 6 = 0 are

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  19. The roots of 2x^(5) + x^(4) - 12x^(3) - 12x^(2) + x + 2 = 0 are

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  20. solve x^5-5x^4+9x^3-9x^2+5x-1=0

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