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The equation whose roots are 3 pm sqrt(2...

The equation whose roots are `3 pm sqrt(2), 2 pm `3i is

A

`x^(4) - 6x^(3) + 8x^(2) + 2x - 1 = 0 `

B

`x^(4) - 9x^(3) + 27x^(2) - 33x + 14 = 0 `

C

`x^(4) - 10x^(3) + 44x^(2) - 106x + 91 = 0 `

D

`x^(4) - 6x^(3) + 4x^(2)+ 54x - 117 = 0 `

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DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1A
  1. The equation whose roots are 1 pm sqrt(2), 2 pm sqrt(3) is

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  2. From the polynomial equation whose roots are 1+I,1-I,1+I,1-I

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  3. The equation whose roots are 3 pm sqrt(2), 2 pm 3i is

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  4. The euqation whose roots are a + b, a - b , - a + b, -a -b is

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  5. The biquadratic equation having roots 4 pmsqrt(3), 2 pm i is

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  6. The biquadratic equation having roots 2 + 3i, 1 + i is

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  7. The biquadratic equation with rational coefficients having roots 2 + s...

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  8. The biquadratic equation, two of whose roots are 1 + i , 1 - sqrt(2) ...

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  9. The equation whose roots are , 0, 0, 2,2,-3,-3 is

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  10. The equaiton of lowest degree with rational coefficients having a root...

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  11. The equation of lowest degree with rational coeficients having a root ...

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  12. The equation of lowest degree with rational coeficients having a roots...

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  13. If (x) is a polynomal of degree n with rational coeficients and 1 + 2...

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  14. If 1,2,3 and 4 are the roots of the eqaution x^(4) + ax^(3) + b x^(2) ...

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  15. The roots of x^(3) + 2x^(2) - x - 2 = 0 are

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  16. The roots of x^(3) + x^(2) - 2x - 2 = 0 are

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  17. Thr roots of the equation x^(3) - 3x - 2 = 0 are

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  18. The roots of x^(4) - 1 = 0 are

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  19. The roots of x^(4) - 5x^(3) + 3x^(2) + 19x - 30 = 0 are

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  20. Given that 2 is a root of x^3-6x^2+3x+10=0 , find the other roots .

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