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If the sum of the roots of the quadratic...

If the sum of the roots of the quadratic equation is 3 and sum of their cubes is 63, find the quadratic equation.

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The correct Answer is:
`x^2-3x-4=0`
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TARGET PUBLICATION-QUADRATIC EQUATIONS-Additional problems for Practice : Based on Practice set 2.5
  1. The difference between the roots of the equation x^2-13x+k=0 is 7, fin...

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  2. Find k if the sum of the roots of the quadratic equation 4x^2 + 8kx + ...

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  3. If the sum of the roots of the quadratic equation is 3 and sum of thei...

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  4. Find the value of discriminant of the following quadratic equations. ...

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  5. Find the value of discriminant of the following quadratic equations. ...

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  6. Find the value of discriminant of the following quadratic equations. ...

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  7. Find the value of discriminant of the following quadratic equations. ...

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  8. Find the value of discriminant of the following quadratic equations. ...

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  9. Determine the nature of roots of the following quadratic equations. ...

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  10. Determine the nature of roots of the following quadratic equations. ...

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  11. Determine the nature of roots of the following quadratic equations. ...

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  12. Determine the nature of roots of the following quadratic equations. ...

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  13. Determine the nature of roots of the following quadratic equations. ...

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  14. If alpha and beta are the roots of the quadratic equation 2x^2+6x-5=0,...

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  15. From the quadratic equation, if its roots are (i) 10 and 3

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  16. From the quadratic equation, if its roots are (ii) 4 and 5

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  17. From the quadratic equation, if its roots are (iii) 5 and 7

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  18. Form the quadratic equation, if the roots are 3 and 8

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  19. Form the quadratic equation if its roots are 3 and –4.

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  20. Obtain a quadratic equation whose roots are -3 and -7.

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