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In the following, determine whether t...

In the following, determine whether the given quadratic equations have real roots and if so, find the roots: `sqrt(3)x^2+10 x-8sqrt(3)=0` (ii) `3x^2-2x+2=0`

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RD SHARMA-QUADRATIC EQUATIONS-All Questions
  1. Write the discriminant of the following quadratic equations: sqrt(3...

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  2. In the following, determine whether the given quadratic equations h...

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  3. In the following, determine whether the given quadratic equations h...

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  4. In the following, determine whether the given quadratic equations h...

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  5. In the following, determine whether the given quadratic equations h...

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  6. In the following, determine whether the given quadratic equations h...

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  7. In the following, determine whether the given quadratic equations h...

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  8. Solve for x : (x-1)/(x-2)+(x-3)/(x-4)=3 1/3;\ \ x!=2,\ 4

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  9. Solve for x : 1/x-1/(x-2)=3,\ \ x!=0,\ 2

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  10. Solve for x : x+1/x=3,\ \ x!=0

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  11. Solve for x : (16)/x-1=(15)/(x+1),\ \ x!=0,\ -1

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  12. Find the values of k for which the equation x^2-4x+k=0 has disti...

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  13. Show that the equation x^2+a x-4=0 has real and distinct roots f...

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  14. The positive value of k for which the equation x^2+k x+64=0 and x^2-8x...

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  15. Find the values of k for which the given equation has real roots...

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  16. Find the values of k for which the given equation has real roots...

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  17. Find the values of k for which the given equation has real roots...

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  18. Find the value of k for which the equation 9x^2-24 x+k=0 has equ...

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  19. Find the value of k for which the equation 2k x^2-40 x+25=0 has ...

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  20. Determine the nature of the roots of the following quadratic equati...

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