Unit 5, Lesson 15

Quadratic Equations with Irrational Solutions

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Integrated Math 2

Practice

Problem 1

Student Task Statement

Solve each equation, and write the solutions using notation.

Practice

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Problem 2

Student Task Statement

Match each expression to an equivalent expression.

-17 and 5
and

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Problem 3

Student Task Statement

Is a positive or negative number? Explain your reasoning.
Is a positive or negative number? Explain your reasoning.
Explain the difference between and the solutions to .

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Problem 4

Student Task Statement

Technology required. For each equation, find the exact solutions by completing the square and the approximate solutions by graphing. Then, verify that the solutions found using the two methods are close.

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Problem 5

ForLesson 10: Rewriting Quadratic Expressions in Factored Form (Part 4)

Student Task Statement

Which expression in factored form is equivalent to ?

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Problem 6

ForLesson 6: Building Quadratic Functions to Describe Situations (Part 2)

Student Task Statement

Two rocks are launched straight up in the air. The height of Rock A is given by the function , where . The height of Rock B is given by , where . In both functions, is time measured in seconds after the rocks are launched, and height is measured in feet above the ground.

Which rock is launched from a higher point?
Which rock is launched with a greater velocity?

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8 and 12

3 and 5

and

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Quadratic Equations with Irrational Solutions

Practice

Problem 1

Student Task Statement

Problem 2

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Problem 3

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Problem 4

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Problem 5

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Problem 6

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Lesson 15 Resources