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Quadratic Formula: Difference between revisions
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(Created page with "== Introduction == The quadratic formula is a solution to the quadratic equation, a fundamental concept in algebra. The quadratic formula provides a method to solve all quadratic equations, including those that are not factorable and those that do not have rational roots. == Definition == The quadratic formula is defined as follows: If a quadratic equation is in the form ax^2 + bx + c = 0, where a, b, and c are constants, then the sol...") |
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The quadratic formula is derived from the process of completing the square on a quadratic equation. This method involves adding a constant to both sides of the equation to create a perfect square trinomial on one side of the equation. | The quadratic formula is derived from the process of completing the square on a quadratic equation. This method involves adding a constant to both sides of the equation to create a perfect square trinomial on one side of the equation. | ||
[[Image:Detail-77721.jpg|thumb|center|A step-by-step derivation of the quadratic formula from the general quadratic equation.]] | |||
== Applications == | == Applications == | ||