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Determine the nature of roots of the fol...

Determine the nature of roots of the following quadratic equations.
(v) `sqrt(3)x^2+2sqrt(3)x+sqrt(3)=0`.

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The correct Answer is:
Real and equal
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TARGET PUBLICATION-QUADRATIC EQUATIONS-Additional problems for Practice : Based on Practice set 2.5
  1. Determine the nature of roots of the following quadratic equations. ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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