1. Equations & Inequalities

Solve each equation using the zero-factor property. See Example 1. 9x^2 - 12x + 4 = 0

Solve each problem. See Examples 1. Dimensions of a Parking Lot. A parking lot has a rectangular area of 40,000 yd2. The length is 200 yd more than twice the width. Find the dimensions of the lot.

Solve each equation using the zero-factor property. See Example 1. 36x^2 + 60x + 25 = 0

Solve each equation in Exercises 15–34 by the square root property.(x - 3)^2 = - 5

Solve each equation using the square root property. See Example 2. 48 - x^2 = 0

Solve each equation in Exercises 15–34 by the square root property.(3x + 2)^2 = 9

Manufacturing to Specifications. A manufacturing firm wants to package its product in a cylindrical container 3 ft high with surface area 8π ft2. What should the radius of the circular top and bottom of the container be? (Hint: The surface area consists of the circular top and bottom and a rectangle that represents the side cut open vertically and unrolled.)

Solve each equation using the square root property. See Example 2. x^2 = -400

Solve each equation in Exercises 15–34 by the square root property.(4x - 1)^2 = 16

Solve each equation in Exercises 15–34 by the square root property.(8x - 3)^2 = 5

Radius of a CanA can of Blue Runner Red Kidney Beans has surface area 371 cm^2. Its height is 12 cm. What is the radius of the circular top? Round to the nearest hun-dredth.

Solve each equation using completing the square. See Examples 3 and 4. x^2 - 7x + 12 = 0

In Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial.x^2 + 3x

Solve each problem. See Example 2. Length of a WalkwayA nature conservancy group decides to construct a raised wooden walkway through a wetland area. To enclose the most interesting part of the wetlands, the walkway will have the shape of a right triangle with one leg 700 yd longer than the other and the hypotenuse 100 yd longer than the longer leg. Find the total length of the walkway.

In Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial.x^2 - 7x