5.8 Solving Quadratic Equations Using Square Roots

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What is a quadratic equation?

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What does it mean to solve a quadratic equation using square roots?

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Solving a quadratic equation using square roots involves isolating the squared term and then taking the square root of both sides to find the variable's values.

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CCSS.HSA-REI.B.4B

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CCSS.HSA-REI.B.4B

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What do you do after isolating the squared term in a quadratic equation?

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After isolating the squared term, take the square root of both sides to solve for the variable.

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CCSS.HSA-REI.B.4B

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CCSS.HSA-REI.B.4B

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CCSS.8.EE.A.2

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What is the significance of the solutions in a quadratic equation?

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The solutions, also called roots or zeros, represent the x-intercepts of the quadratic function on a graph.

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CCSS.HSF-IF.C.7A

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What does it mean if a quadratic equation has imaginary solutions?

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Imaginary solutions occur when the squared term results in a negative number after isolating it, indicating no real x-intercepts.

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CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

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How do you determine if the solutions of a quadratic equation are real or imaginary?

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You determine this by checking if the value under the square root (the discriminant) is positive (real solutions) or negative (imaginary solutions).

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CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

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What is the discriminant in a quadratic equation?

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CCSS.HSA-REI.B.4B