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Show that the equation x^2+a x-4=0 ha...

Show that the equation `x^2+a x-4=0` has real and distinct roots for all real values of `a` .

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RD SHARMA-QUADRATIC EQUATIONS-All Questions
  1. Solve for x : (16)/x-1=(15)/(x+1),\ \ x!=0,\ -1

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

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

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

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

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

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

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

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

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

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

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

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  13. Find the values of k for which the roots are real and equal in t...

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  14. Find the values of k for which the roots are real and equal in t...

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  15. Find the values of k for which the roots are real and equal in t...

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  16. Find the values of k for which the roots are real and equal in t...

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  17. Find the values of k for which the roots are real and equal in t...

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  18. Find the values of k for which the roots are real and equal in t...

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  19. Find the values of k for which (k+1)x^2-2(3k+1)x+8k+1=0 has real an...

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  20. Find the values of k for which 5x^2-4x+2+k(4x^2-2x-1)=0 has real an...

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