We have now studied several methods for solving a
quadratic equation. The following table summarizes the methods .
When the Method is Best
If the quad. can be factored easily
2. Square Root
If quad can easily be written in ax2 = c or (ax
+ b)2 = c
3. Completing the square
4. Quadratic formula
When factoring is not easy.
The expression b2 – 4ac is called the discriminant.
Given a quadratic equation in the form ax2 + bx + c = 0, where a ≠ 0, to
determine the number and type of solution the quadratic has we will evaluate the
b2 –4ac < 0, then the equation has two non real
b2 –4ac = 0, then the equation has one real solution
b2 –4ac > 0, then the equation has two real solutions.
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