Question Details

MAT 110 MODULE 8 CHECK YOUR UNDERSTANDING
1.	Find two consecutive positive integers such that the sum of their squares is 113.

2.	Solve the equation for x. (2x + 5)2 - 49 = 0

3.	One technique of controlling cancer is to use radiation therapy. After such a treatment, the total number of cancerous cells N, in thousands, can be estimated by the equation N = -3t2 + 6t + 220 where t is the number of days of treatment. How many days of treatment are required to kill all the cancer cells?

4.	A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30 ft by 40 ft. The total area, garden plus walkway, is to be 1800 ft2. What must be the width of the walkway to the nearest thousandth?

5.	Solve for x. 5(x - 2)2 = 3

6.	Use the quadratic formula to solve the following equation. 3x2 = 11x + 4

7.	Solve for x. (x + 3)2 = 7

8.	Find the constant term that should be added to make the following expression a perfect-square trinomial.
x2 + 11x

9.	Solve by completing the square. x2 - 12x + 20 = 0

10.	Use the quadratic formula to solve the following equation. x2 = 7x - 7

11.	Determine whether the following trinomial is a perfect square. x2 + 
12.	Solve for x.  

13.	Solve for x. x2 + 4 = 20

14.	Solve. (x - 1)2 = 5

15.	Solve by completing the square. x2 = 5x + 2

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