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If the roots of x^4 +5x^3 - 30 x^2 -...

If the roots of ` x^4 +5x^3 - 30 x^2 - 40 x+64=0` are in G.P then roots of ` x^4 - 5 x^3 - 30 x^2 + 40 x+ 64 =0` are in

A

`1,2,4,8`

B

`+- 1,2,3`

C

`+- 2i ,2,3`

D

` 3/2 ,-1/3 ,2 +- sqrt(3)`

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The correct Answer is:
A
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AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE-II
  1. If - 1 + i is a root of x^(4) + 4x^(3) + 5x^(2) + 2x + k = 0 then k =

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  2. If the roots of x^4 - 8x^3 + 14 x^2 + 8x - 15=0 are in A.P t...

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  3. If the roots of x^4 +5x^3 - 30 x^2 - 40 x+64=0 are in G.P then...

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  4. If the sum of two of the roots of x^4 -2x^3 -3x^2 +10 x-10=0 i...

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  5. the roots of the equation x^4 -6x^3 + 18x^2- 30 x +25 =0 are of...

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  6. Assertion (A) : If 1,2,3 are the roots of ax^3 + bx ^2 +cx +d=0 ...

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  7. If the product of two of the roots of x^4 - 5x^3 + 5x^2 + 5x -6=...

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  8. The equation x^3 -3qx +2r =0 has a repeated root then

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

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

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

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

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

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

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

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

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

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

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

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