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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