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Write the set of values of `' a '` for which the equation `x^2+a x-1=0` has real roots.

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RD SHARMA ENGLISH-QUADRATIC EQUATIONS-All Questions
  1. What is the nature of roots of the quadratic equation 4x^2-12 x-9=0...

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  2. Write the number of real roots of the equation x^2+3|x|+2=0 .

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  3. Write the set of values of ' a ' for which the equation x^2+a x-...

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  4. Is there any real value of ' a ' for which the equation x^2+2x+(...

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  5. Write the value of lambda for which x^2+4x+lambda is a perfect squa...

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  6. Find the condition if the roots of a x^2+2b x+c=0 a n d b x^2-2sqrt...

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  7. Write the set of values of k for which the quadratic equation ha...

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  8. Write a quadratic polynomial, sum of whose zeros is 2sqrt(3) and th...

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  9. Show that x=-3 is solution of x^2+6x+9=0

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  10. Show that x=-2 is a solution of 3x^2+13 x+14=0

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  11. Find the discriminant of the quadratic equation 3sqrt3x^2+10x+sqrt3=0.

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  12. If x=(-1)/2 , is a solution of the quadratic equation 3x^2+2k x-3=0...

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  13. If the equation x^2+4x+k=0 has real and distinct roots, then (a)...

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  14. If the equation 9x^2+6k x+4=0 has equal roots, then the roots are ...

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  15. If the equation a x^2+2x+a=0 has two distinct roots, if (a)a=+-1...

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  16. If 2 is a root of the equation x^2+b x+12=0 and the equation x^2+b...

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  17. If the roots of the equation (a^2+b^2)x^2-2b(a+c)x+(b^2+c^2)=0 are e...

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  18. If the equation x^2-b x+1=0 does not possess real roots, then rang...

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  19. If x=1 is a common root of the equations a x^2+a x+3=0 and x^2+x+b=0...

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  20. If p and q are the roots of the equation x^2-p x+q=0 , then (a)p=1...

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