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The roots of x^(3) - 3x^(2) + 4 = 0 , w...

The roots of `x^(3) - 3x^(2) + 4 = 0 ` , when there is a multiple root, are

A

`1//2, 1, - 3 `

B

`1//3, 1//3 , 1 `

C

`6, 4, - 1`

D

`2, 2, -1 `

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DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1A
  1. If one of the root x^(4) - 5x^(3) + 10x^(2) - 20x + 24 = 0 is purely ...

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  2. It two roots of 20x^(3) - 16x^(2) + x + 1 = 0 are equal then the root...

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  3. The roots of x^(3) - 3x^(2) + 4 = 0 , when there is a multiple root, ...

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  4. If x^(4) -5x^(3) + 9x^(2) - 7x + 2 = 0 has a multiple roots of order...

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  5. Find the repeated roots of x^5-3x^4-5x^3+27x^2-32x+12=0

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  6. The multiple roots of x^(4) - 2x^(3) - 11x^(2) + 12x + 36 = 0 are

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  7. If the roots of x^(4) - 6x^(3) +13x^2-12x + 4 = 0 are alpha, alpha ,...

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  8. If x^(4) + 4x^(3) - 2x^(2) - 12x + 9 = 0 has a pair of equal roots th...

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  9. The there is a multiple root of order 3 for the equation x^(4) - 2x^(3...

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  10. If one root of 24x^(3) - 14x^(2) - 63x + 45 = 0 is the double the oth...

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  11. If one root of 24x^(3) + 46x^(2) + 9x - 9 = 0 is the double the other ...

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  12. If two roots of x^(3) - 4x^(2) + x + 6 = 0 are in the ratio 2 : 3 then...

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  13. If two roots of 2x^(3) - x^(2) - 22x - 24 = 0 are in the ratio 3 : 4 ...

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  14. If the sum of two of the roots of 4x^(3) + 16x^(2) - 9x - 36 = 0 is z...

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  15. If the sum of two of the roots of x^(4) - 2x^(3) - 3x^(2) + 10x - 10 =...

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  16. If two of the roots of 8x^(4) - 2x^(3) - 27x^(2) + 6x + 9 = 0 are bei...

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  17. If the roots of 2x^(3) - 3x^(2) - 11x + 6 = 0 are in A.P. then the ro...

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

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  19. If the roots of x^(4) - 2x^(3) - 21x^(2) + 22x + 40 = 0 are in A.P. t...

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  20. If the roots of 3x^(3) - 26x^(2) + 52x - 24 = 0 are in G.P. then root...

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