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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.

Text Solution

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

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  2. Form the quadratic equation, if its roots are (i) 10 and 3

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  3. Form the quadratic equation, if its roots are (ii) 4 and 5

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  4. Form the quadratic equation, if its roots are (iii) 5 and 7

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

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  6. From the quadratic equation, if its roots are (v) 3 and -4

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  7. From the quadratic equation, if its roots are (vi) -3 and -7

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  8. Form the quadratic equation, if its roots are (vii) 4 and 2/3

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  9. Form the quadratic equation, if its roots are (viii) (-25)/8 and 25/...

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  10. Find k, if the roots of the quadratic equation kx^2-4x+4=0 are equal

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  11. Find the value (s) of k for which the given quadratic equations has r...

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  12. Find the value (s) of k for which the given quadratic equations has ...

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  13. Find m, if the quadratic equation (m-1)x^2-2(m-1)x+1=0 has real and ...

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  14. If alpha and beta are the roots of the equation x^2-9x+14=0, find (i...

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  15. If alpha and beta are the roots of the equation x^2-9x+14=0, find (i...

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  16. If alpha and beta are the roots of quadratic equation x^(2)+5x-1=0 t...

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  17. If alpha and beta are the roots of quadratic equation x^(2)+5x-1=0 t...

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  18. The difference between the roots of the equation x^2-13x+k=0 is 7, ...

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

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  20. If the sum of the roots of the quadratic equation is 3 and sum of th...

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