1001 Algebra Problems.PDF

• RADICAL EXPRESSIONS AND QUADRATIC EQUATIONS–

649.Find the real solutions of the following equa-
tion, if they exist: 4x^2 = 20x– 24
a.2, 3
b.16, 36
c.–2, –3
d.16, –36

650.Find the real solutions of the following equa-
tion, if they exist: 12x– 15x^2 = 0
a.0, –1.25
b.–1.25, –1.25
c.0, 1.25
d.The solutions are imaginary.

651.Find the real solutions of the following equa-
tion, if they exist: (3x–8)^2  45
a. ≈–3.875, 3.875
b.–3, 5
c. ≈3.875, 4.903
d.The solution are imaginary.

652.Find the real solutions of the following equa-
tion, if they exist: 0.20x^2 – 2.20x+ 2 = 0
a.–10, –1
b.1, 10
c.–1, 10
d.The solutions are imaginary.

653.Find the real solutions of the following equa-
tion, if they exist:x^2 – 3x– 3 = 0
a.≈ –0.791, 3.791
b.1, 3
c.–1, –3
d.The solutions are imaginary.

654.Find the real solutions of the following equa-
tion, if they exist:x^2 = –2x
a.0, 2
b.–2, 0
c.–2, 2
d.The solutions are imaginary.

655.Find the real solutions of the following equa-

tion, if they exist:^16 x^2 – ^53 x+ 1 = 0

a. ≈0.51, 10.51

b. ≈0.641, 9.359

c.1, 4.2

d.The solutions are imaginary.

656.Find the real solutions of the following equa-

tion, if they exist: (2x+ 1)^2 – 2(2x+ 1) – 3 = 0

a.–11, –1

b.1, 11

c.–1, 11

d.The solutions are imaginary.

Set 42 (Answers begin on page 227)

Solving equations that can be put in quadratic form via

substitution is the focus of this problem set.

657.Solve:b^4 – 7b^2 + 12 = 0

a.  2 , 3 

b. 2 2, 3 

c. 2 , 3

d.2, 3

658.Solve: (3b^2 – 1)(1 – 2b^2 ) = 0

a.  ,

b. ,

c. ,

d. ,

659.Solve: 4b^4 + 20b^2 + 25 = 0

a. i ^130 

b. ^130 

c. ^120 

d.i ^120 

^3 

3

^2 

3

^2 

3

^3 

2

^3 

2

^2 

3

^3 

3

^2 

2