# trig

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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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