Problem

Use the method described in Relating Concepts Exercises 1 to 4 if applicable to solve equa...

Use the method described in Relating Concepts Exercises 1 to 4 if applicable to solve equation or inequality.

Exercise 1

For individual or collaborative investigation

To see how to solve an equation that involves the absolute value of a quadratic polynomial, such as , work Exercise.

Give the complete solution set of , using the results from Exercise and 3

Exercise 2

For individual or collaborative investigation

To see how to solve an equation that involves the absolute value of a quadratic polynomial, such as , work Exercise.

Write an equation stating that  is equal to the positive value you found in Exercise, and solve it using factoring.

Exercise 3

For individual or collaborative investigation

To see how to solve an equation that involves the absolute value of a quadratic polynomial, such as , work Exercise.

For  to have an absolute value equal to 6, what are the two possible values that it may be? (Hint: One is positive and the other is negative.)

Exercise 4

For individual or collaborative investigation

To see how to solve an equation that involves the absolute value of a quadratic polynomial, such as , work Exercise.

Write an equation stating that  is equal to the negative value you found in Exercise, and solve it using the quadratic formula. (Hint: The solutions are not real numbers.)

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