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use the discriminant to solve for the smallest value of b that would make the roots of the equation x^2+bx+5=o imaginary

  • trig -

    is this algebra or pre-algebra

  • trig -

    to have imaginary roots
    b^2 - 4ac < 0
    b^2 - 4(1)(5) <0
    b^ < 20
    ± b < √20
    b < √20 AND b > -√20

    so -√20 < b < √20

    It would be that number "just to the right" of -√20
    but of course we cannot name that number.
    If you think you have found it, I can find a number which is closer to it.

    Poorly worded question!

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