The radicand of the quadratic formula, b2 - 4ac, can be

Chapter 6, Problem 97

(choose chapter or problem)

The radicand of the quadratic formula, \(b^{2} - 4ac\), can be used to determine whether \(ax^{2} + bx + c = 0\) has solutions that are rational, irrational, or not real numbers. Explain how this works. Is it possible to determine the kinds of answers that one will obtain to a quadratic equation without actually solving the equation? Explain.

Text Transcription:

b^2 - 4ac

ax^2 + bx + c = 0

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