Completing the Square

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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, allowing for easier solutions.

Front

What is the standard form of a quadratic equation?

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What is the vertex form of a quadratic equation?

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Front

What is the first step in completing the square?

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The first step is to move the constant term to the other side of the equation.

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Take half of 8 (which is 4) and square it (4^2 = 16). Add 16 to both sides of the equation.

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What does it mean for a quadratic to have complex solutions?

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A quadratic has complex solutions when the discriminant (b^2 - 4ac) is less than zero, indicating that the parabola does not intersect the x-axis.

Front

How do you derive the quadratic formula from completing the square?

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Front

What is the discriminant of a quadratic equation?

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