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The equation whose roots are exceed by 1...

The equation whose roots are exceed by 1 then those of `x^(5) + 5x^(4) + 3x^(3) + x^(2) + x - 1 = 0 ` is

A

`x^(4) - 9x^(3) + 20x^(2) = 0`

B

`x^(5) - 7x^(3) + 12x^(2) - 7x = 0 `

C

`x^(4) + 7x^(3) - 11x^(2) - 144x - 208 = 0`

D

`x^(5) + 11x^(4) + 45x^(3) + 81x^(2) + 50x - 6 = 0 `

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A : the equation whose roots are multiplied by 2 of those of x^(5) - 2x^(4) + 3x^(3) - 2x^(2) + 4x + 3 =0 is x^(5) - 4x^(4) + 12x^(3) - 16x^(2) + 64x + 96 = 0 . R: the equation whose roots are multiplied by k of those of f(x) = 0 is f(x/k) = 0.

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DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1B
  1. The equation whose roots are exceed by 1 then those of x^(3) - 5x^(2) ...

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  2. The equation whose roots are exceed by 2 then those x^(4) + x^(3) - 10...

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  3. The equation whose roots are exceed by 1 then those of x^(5) + 5x^(4) ...

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  4. The equation whose roots are diminish by 1 than those of x^(3) + 2x^(2...

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  5. The equation whose roots are diminish by 3 then those of x^(4) - 5x^(3...

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  6. The equation whose roots are diminish by 3 then those x^(5) - 4x^(4) +...

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  7. If 2, -3 , 5 are the roots of ax^(3) + bx^(2) + cx + d = 0 then the ro...

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  8. If pm 2, pm 3 are the roots of ax^(4) + bx^(3) + cx^(2) + dx + e = 0...

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  9. If the roots of ax^3 + bx^2 + cx +d=0 are in A.P then the roots...

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  10. Form the equation whose roots are m times the roots of the equation x^...

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  11. The transformed equation with integer coeficients whose roots are mul...

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  12. The transformed equation with integer co-effcients whose roots ...

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  13. The transformed equation of x^(3) - 4x^(2) + (1)/(4)x - (1)/(9) = 0 , ...

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  14. The transformed equation with integer coefficients and unity for the c...

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

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  16. The transformed equation of a^(4) b^(3) x^(4) + a^(3) b^(2) x^(3) + a^...

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  17. The transformed equation of x^(3) - 6x^(2) + 5x + 8 = 0, by eliminatin...

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  18. Each of the roots of the equation x^(3) - 6x^(2) + 6x - 5 = 0 are incr...

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  19. The transformed equation of x^(4) + 8x^(3) + x - 5 = 0 by eliminating ...

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  20. The transformed equation of x^(4) + 4x^(3) + 2x^(2) - 4x - 2 = 0, by e...

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