Quadratic Formula
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Summary
The quadratic formula is a crucial tool for solving quadratic equations that cannot be factored or easily solved by completing the square, especially on the SAT exam.
- The quadratic formula is used when a quadratic equation cannot be factored or does not fit neatly into algebraic patterns.
- The formula is provided during the SAT exam, so memorization is not necessary.
- The discriminant (b^2 - 4ac) within the quadratic formula determines the nature of the roots (real, one real, or imaginary).
- Putting the quadratic equation in standard form (ax^2 + bx + c = 0) is essential before applying the quadratic formula.
- Completing the square is an alternative method that can be quicker and more efficient in some cases.
Chapters
00:00
Introduction to the Quadratic Formula
00:53
Applying the Quadratic Formula
01:59
Understanding the Discriminant
03:38
Solving Quadratics with the Formula