2.10 Summary

2.10 Summary (EMBFZ)

• Zero product law: if \(a \times b = 0\), then \(a = 0\) and/or \(b=0\).

• Quadratic formula: \(x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\).

• 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