Solving Quadratics by Completing the Square FLASHCARD

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What is completing the square?

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Completing the square is a method used to solve quadratic equations by rewriting them in the form of a perfect square trinomial, which makes it easier to solve for the variable.

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Take half of -12 (which is -6) and square it to get 36.

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Add 14 to both sides of the equation.

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What does it mean if the completed square form has a negative value on the right side?

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It indicates that there are no real solutions to the equation, as a square cannot equal a negative number.

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What is the significance of the vertex in the context of completing the square?

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The vertex of the parabola represented by the quadratic equation is found at the point where the expression is in completed square form.

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How do you determine the axis of symmetry from a completed square form?

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