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Interpret the Discriminant
Section 10.7
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Objectives: Use the value of the discriminant to describe solutions and intercepts of a quadratic equation
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Key Vocabulary: Discriminant
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Discriminant
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Using the Discriminant
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Example 1: Use the discriminant to describe the number of solutions. .
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Example 2: Use the discriminant to describe the number of solutions.
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#1: Tell whether the equation has two solutions, one solution, or no solution.
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#2: Tell whether the equation has two solutions, one solution, or no solution.
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#3: Tell whether the equation has two solutions, one solution, or no solution.
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Example 3: Find the number of x-intercepts of the graph of the function.
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#4: Find the number of x-intercepts of the graph of the function.
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#5: Find the number of x-intercepts of the graph of the function.
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#6: Find the number of x-intercepts of the graph of the function.
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Example 4: The Centennial Fountain in Chicago shoots a water arc that can be modeled by the graph of the equation where x is the horizontal distance (in feet) from the river’s north shore and y is the height (in feet) above the water. Does the water arc reach a height of 50 feet? If so, about how far from the north shore is the water arc 50 feet above the water?
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Homework Assignment Page 681 #8, 10, 12, 14, 16, 18,
22, 24, 30, 32, 34, 38, 46, 48
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