October 15, 2008

This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Solving with the quadratic formula.

In this section, you'll learn another approach to using the quadratic formula. If the left hand side of a given equation ax^{2} + bx + c = 0 cannot be factorized easily into the product of a pair of binomials, then it can be solved by using the quadratic formula x = {–b ± ?(b^{2} – 4ac)}/2a and it'll have two roots. For example, if you use the quadratic formula to solve equation x^{2} + 2x + 7 = 0, you get two roots x = -1 ± 2?2.

In this section, you'll learn another approach to using the quadratic formula. If the left hand side of a given equation ax

This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Algebra I. Click on the video below to go through it. If you like it, you can buy our online course in Algebra I by clicking here.

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Solve quadratic equations with real coefficients that have complex solutions.

Solve quadratic equations by inspection (e.g., for x² = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.