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If`alpha , beta , gamma` are the roots of ` x^3 + px^2 + qx + r=0` form the equation whose roots are ` alpha beta , beta gamma , gamma alpha `

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The correct Answer is:
`x^3 -qx^2 +pr x -r^2 =0`
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AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE -2.3 (LONG ANSWER QUESTIONS)
  1. If alpha , beta , gamma are the roots of x^3 - 6x^2 +11 x-6=0 ...

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  2. Ifalpha , beta , gamma are the roots of x^3 + px^2 + qx + r=0 form...

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  3. Find the algebraic equation of degree 4 whose roots are the translates...

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  4. Find the polynomial equation whose roots are the translates of the roo...

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  5. Find the equation whose are the translates of the roots of ...

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  6. Find the equation whose are the translates of the roots of x...

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  7. Find the equation whose are the translates of the roots of 3...

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  8. Remove second term ( second higher power of x ) from the equa...

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  9. Remove second term ( second higher power of x ) from the equa...

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  10. Remove second term ( second higher power of x ) from the equa...

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  11. Transform eanc of the following equations into ones in which of the co...

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  12. Remove second term ( second higher power of x ) from the equa...

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  13. Transform each of the following equations into ones in which the coeff...

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  14. Solve the following equations 4x^3 -13x^2 -13 x+4=0

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  15. Solve the equation 6x^4-35x^3+62x^2-35x+6=0 .

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  16. Solve the following equations . x^4-10x^3+26x^2-10x+1=0

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  17. Solve the following equations 2x^5+x^4-12x^3-12x^2+x2=0

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  18. Solve the following equations x^5 -5x^4 +9x^3 -9x^2 +5x -1=0

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  19. Solve the equation 6x^6-25x^5+31x^4-31x^2+25x-6=0

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