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Transform each of the following equations into ones in which the coefficients of the third highest power of x is zero . `x^4+2x^3-12x^2+2x-1=0`

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The correct Answer is:
`therefore` required equation is `x^4-6x^3+42x-53=0 or x^4+6x^3-12x-8=0`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-THEORY OF EQUATIONS -EXERCISE -4(d)
  1. Find the algebraic equation whose roots are 2 times the roots of x^5...

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  2. Find the transformed equation whose roots are the negative of the ...

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  3. Find the transformed equation whose roots aren the negatives of the ...

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  4. Find the polynomial equation whose roots are the reciprocals of the r...

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  5. Find the polynomial equation whose roots are the reciprocals of the r...

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  6. Find the polynomial equation whose roots are the squares of the roots ...

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  7. Form the polynomial equation whose roots are the squares of the roots...

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  8. Form the polynomial equation whose roots are cubes of the roots of x^...

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  9. Find the polynomial equation whose roots are the translates of those o...

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  10. Find the polynomial equation whose roots are the translates of those o...

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

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  12. Find the polynomial equation whose roots are the translates of the eq...

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

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

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

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

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

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

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

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

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