2.10 Summary
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2.10 Summary (EMBFZ)
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Zero product law: if \(a \times b = 0\), then \(a = 0\) and/or \(b=0\).
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Quadratic formula: \(x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\).
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Discriminant: \(\Delta = b^2 - 4ac\).
Nature of roots Discriminant Roots are non-real \(\Delta <0\) Roots are real and equal \(\Delta = 0\) Roots are real and unequal:
- Rational roots
- Irrational roots
\(\Delta > 0\)
- \(Δ =\) squared rational number
- \(Δ =\) not squared rational number
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