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Find the quadartic equation whose sum of...

Find the quadartic equation whose sum of the roots is 2 and sum of the cubes of the roots is 27.

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The correct Answer is:
`6x^(2)-12x-19=0`;
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CALCUTTA BOOK HOUSE-QUADRATIC EQUATION IN ONE VARIABLE-EXERCISE-1.5
  1. Find the quadartic equation whose one root is (3-sqrt2)

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  2. Find m, given that the difference of the roots of the equation 2x^2-12...

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  3. Find the quadartic equation whose sum of the roots is 2 and sum of the...

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  4. For what values of a, the roots of the quadratic equation x^(2)-(3a-1)...

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  5. Determine the nature of the roots of the qaudratic equation 3sqrt2x^(2...

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  6. If alphaandbeta be the roots of the quadratic equation 2x^(2)+2x-3=0, ...

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  7. If alphaandbeta be the roots of the quadratic equation 2x^(2)+2x-3=0, ...

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  8. If alphaandbeta be the roots of quadratic equation ax^(2)+bx+c=0, then...

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  9. If alphaandbeta be the roots of quadratic equation ax^(2)+bx+c=0, then...

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  10. If alphaand beta be the roots of the equation x^(2)+px+q=0, then find ...

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  11. If alphaand beta be the roots of the equation x^(2)+px+q=0, then find ...

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  12. Solve by applying Sreedhar Acharya's formula - (px-1)(qx+2)+r=0

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  13. If alphaandbeta be the roots of the quadratic equation x^(2)-px+q=0, t...

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  14. If alphaandbeta be the roots of the equation 5x^(2)+7x+3=0, then find ...

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  15. If alphaandbeta be the roots of the quadratic equation x^(2)+px+q=0, t...

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  16. If alphaandbeta be the roots of the quadratic equation ax^(2)+bx+c=0, ...

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  17. If alphaandbeta be the roots of the quadratic equation px^(2)-qx+q=0, ...

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  18. If the ratio of the roots of the quadratic equation lx^(2)+nx+n=0 be p...

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  19. If one root of the equation x^(2)+(5a+2)x+5a+2=0 be 5-times of the oth...

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  20. If the ratio of the roots of the quadratic equation x^(2)-px+q=0 be 2:...

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