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discriminant for the quadratic equation

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What is our discriminant for the quadratic equation x2 + x + 1 = 0? Do we have a solution to our quadratic formula for the case of a negative discriminant? Note the various possibilities for the discriminant: positive and a perfect square, positive and not a perfect square. zero, and negative. What can we conclude about the nature of our two solutions based upon the value of the discriminant?

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Solution Summary

The discriminant for the quadratic equation is clearly labeled.

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For a quadratic expression of the form:

ax2 + bx + c

the discriminant is:

b2 - 4ac

Depending on what this number is will tell us what type of solutions we ...

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