SOLUTION: I have been out of school for 10 years and I need help on the quadratic inequality x^2+4x+6>or=3

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Question 3222: I have been out of school for 10 years and I need help on the quadratic inequality
x^2+4x+6>or=3

Answer by drglass(89) About Me  (Show Source):
You can put this solution on YOUR website!
First, solve the equation:

x%5E2+%2B+4x+%2B+6+=+0

The equation has the form:

ax%5E2+%2B+bx+%2B+c+=+0, where a = 1, b = 4 and c =6

This problem does not have neat factors, so we apply the quadratic equation:

%28-b+%2B-+sqrt%28b%5E2+-+4ac%29%29%2F%282a%29%29

Using the values for a, b and c we just identified, the quadratic equation becomes:



This is a complex number! To find where this equation is less than 3 depends on what you mean by less than when talking about complex numbers.

To answer this correctly, I would ask you to verify the equation then I would ask you to define less than for complex numbers.

In any case, the roots of the equation are:

-2+%2B-+sqrt%28-2%29+=+-2+%2B+sqrt%282%29i and -2+-+sqrt%282%29i