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The difference of the irrational roo...

The difference of the irrational roots of the equation `x^5 -5x^4 + 9x ^3 -9x^2+5x -1=0` is

A

`sqrt(5)`

B

`0`

C

`1`

D

`2`

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Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE-II
  1. The equation x^3 -3qx +2r =0 has a repeated root then

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  2. If there is a multiple root of order 3 for the equation x^4 ...

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  3. The difference of the irrational roots of the equation x^5 -5x^4...

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  4. If alpha , beta , gamma are the roots of x^3 +2x^2 +3x +8=0 th...

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  5. If alpha , beta , gamma are the roots of the equation x^3 - px^...

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  6. If alpha, beta , gamma are the roots of the equation x^(3)+4x+1=0, the...

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  7. If alpha , beta , gamma are the roots of 2x^3 -2x -1=0 the sum ...

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  8. sum (1)/(alpha^2 beta^2)

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  9. If alpha , beta , gamma are the roots of x^3 + qx +r=0 then (1...

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  10. If f(x) =5x^3 +4x^2 - 13 x-25 and f(x-3) = 5x^3 - 41 x^2 + 98 x...

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  11. The equation whose roots exceed by 2 than the roots of 4x^4 ...

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

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

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  14. If 1,2,3 are the roots of ax^3 +bx^2 + cx +d=0 then the roots...

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

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

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  17. If alpha , beta , gamma are the roots of the equation x^3 +px...

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  18. Remove the third term from the equation x^4 +2x^3 -12 x^2 +2x -1...

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  19. Number of transformed equations of x^3 +2x^2 +x+1=0 by eliminating...

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  20. The transformed equation x^3 -5/2 x^2 -(7)/(18 ) x+(1)/( 108 )...

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