1. Equations & Inequalities

Solve each equation in Exercises 15–34 by the square root property.(x + 2)^2 = 25

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 in Exercises 15–34 by the square root property.3(x - 4)^2 = 15

Solve each equation in Exercises 15–34 by the square root property.(x + 3)^2 = - 16

Solve each equation using the square root property. See Example 2. x^2 = 121

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

Solve each equation using the square root property. See Example 2. (x - 4)^2 = -5

Solve each equation in Exercises 15–34 by the square root property.(2x + 8)^2 = 27

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 + 12x

Solve each equation. (2x+1)(x-4) = x

(Modeling)Solve each problem. See Example 3.Height of a ProjectileA projectile is launched from ground level with an initial velocity of v_0 feet per second. Neglecting air resistance, its height in feet t seconds after launch is given by s=-16t^2+v_0t. In each exercise, find the time(s) that the projectile will (a) reach a height of 80 ft and (b) return to the ground for the given value of v_0. Round answers to the nearest hun-dredth if necessary. v_0=96

Solve each equation using completing the square. See Examples 3 and 4. 2x^2 + x = 10

Solve each equation using completing the square. See Examples 3 and 4. 3x^2 + 2x = 5

Solve each equation in Exercises 47–64 by completing the square.x^2 + 6x = 7

See Exercise 47.(b)Which equation has two nonreal complex solutions?