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For what vkues of k, the roots of the eq...

For what vkues of k, the roots of the equation `x^2 + 4x + k =0` are real?

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AGRAWAL PUBLICATION-QUADRATIC EQUATIONS-EXAMPLE
  1. Find the nature of the roots of the quadratic equation 2x^2 -4x +3=0.

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  2. is 0.2 a root of the equation x^2 -0.4 =? justify

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  3. For what vkues of k, the roots of the equation x^2 + 4x + k =0 are rea...

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  4. If x=2 and m=3, the equation is 3x^2 - 2kx +2m =0, find k.

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  5. if one root of the quadratic equation 6x^2 -x-k=0 is 2/3, then find th...

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  6. For what value of 'a' does the quadratic equation x^2 -ax +1=0 not hav...

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  7. if x=3 is one root of the quadratic equation 1x62- 2kx-6=0, then find ...

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  8. Find the value of k for which the roots of the quadratic equation 2x^2...

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  9. For what positive values of k, does the quadratic equation 3x^2 -kx +3...

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  10. If alpha, beta (alpha lt beta) are the roots of the equation 6x^(2) + ...

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  11. Solve for x: 8x^2 -2x -3 =0

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  12. Solve the following quadratic equation: 6a^2 x^2 - 7abx - 3b^2 =0

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  13. Solve for x: sqrt3 x^2 + 10x - 8 sqrt3 =0

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  14. A quadratic equation with integral coefficient has integral roots. Jus...

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  15. Does there exist a quadratic equation whose coefficients are rational ...

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  16. Solve for x: (x+3)/(x+2) = (3x-7)/(2x-3), x != -2, 3/2

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  17. Find the roots of the quadratic equation sqrt2 x^2 + 7x + 5 sqrt2 =0

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  18. If b =0 and c<0, is it true that the roots of x^2+ bx +c =0 are nume...

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  19. Find the value of x^2 + k(2x + x +1) +2 =0 has real and equal roots.

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  20. If x = 2/3 and x= -3 are roots of the quadratic equation ax^2 + 7x +b ...

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