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Quadratic Equation: Answers
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Completing the Square — This method should never be used to solve a quadratic equation. However, students are asked to do just that. Completing the square is an important technique used to rewrite equations of circles, parabolas, hyperbolas, and ellipses in their standard form — a more useful form. By learning completing the square as a method of solving quadratics, you get practice for later. And, this method does give the answers to the problems.
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There are two roots (answers) to a quadratic equation, because of the in the equation. In most chemistry problems, only one answer will be meaningful and have physical significance. This means that one answer will make sense, the other answer won't. This will be obvious! Usually when the WRONG answer is plugged in, it will lead to a negative concentration or amount. Since nothing can exist as a negative concentration, the other answer must be the RIGHT one.
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scary quadratic equation The fact that taking a square root can give a positive or a negative answer leads to the remarkable result that a quadratic equation has two solutions. So much for mathematical puzzles only having one solution!
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