Beginning Algebra, 11th Edition

Solve. 32. 33.The length of a rectangle is 2.5 times its width. The area is 1000. Find the length.

Simplify each expression as much as possible.

38.Solve

Simplify each expression as much as possible.

43.Solve. 2 x+ 2 =x- 4

325 - 2220 + 2125 B

3

7 16

626 25

2100

1 x+ 3 +

1 x =

7 10 .

1 a +^1 b 1 a

1
b

2 a^2 - 4

+ 3 a^2 - 4 a+ 4

1 k

2 k- 1

2 a- 3 ,

5 2 a- 6

m^2

x^2 + 3 x- 54 = 0

596 CHAPTER 9 Quadratic Equations

44.Simplify. (a) 8 2/3 (b) - 16 1/4

Solve each quadratic equation, using the method indicated. Give only real solutions.

(square root property) 46. (completing the square)

(quadratic formula)

Solve each problem. (Items marked * require knowledge of complex numbers.)

2 x 1 x- 22 - 3 = 0

13 x+ 222 = 12 - x^2 + 5 = 2 x

*48.Perform the indicated operations. Give answers in standard form.

(a) (b)

*49.Find the complex solutions of 2 x^2 + 2 x=- 9.

17 - i

1 - 9 + 3 i 2 + 14 + 2 i 2 - 1 - 5 - 3 i 2

50.Graph the quadratic function defined by and identify the vertex. Give the domain and range.

ƒ 1 x 2 =-x^2 - 2 x+1,

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