Quadratic Formula

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What is the quadratic formula?

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CCSS.HSA-REI.B.4B

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What does the discriminant of a quadratic equation indicate?

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CCSS.HSA-REI.B.4B

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How do you determine the number of real solutions from the discriminant?

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If the discriminant is greater than zero (D > 0), there are two real solutions. If it is equal to zero (D = 0), there is one real solution. If it is less than zero (D < 0), there are no real solutions.

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CCSS.HSA-REI.B.4B

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What is the significance of the term 'zero' in relation to the discriminant?

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If the discriminant is equal to zero, it indicates that the quadratic equation has exactly one real solution, also known as a repeated or double root.

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CCSS.HSA-REI.B.4B

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What is the first step in solving a quadratic equation using the quadratic formula?

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What does the term 'real solution' mean in the context of quadratic equations?

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A real solution refers to a solution that is a real number, as opposed to a complex number. Quadratic equations can have zero, one, or two real solutions depending on the discriminant.

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CCSS.HSA-REI.B.4B