Second grade formulae



Second grade formulae

When $a \ne 0$, there are two solutions to \(ax^2 + bx + c = 0\) and they are
$$x = {-b \pm \sqrt{b^2-4ac} \over 2a}.$$

So, it is holds

  • When \(b^2 = 4ac \Rightarrow \) equation has a unique real solution.
  • When \(b^2 > 4ac \Rightarrow \) equation has two different real solutions.
  • When \(b^2 < 4ac \Rightarrow \) equation has different complex congugate solutions.

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