review2 - MAC1140, Precalculus Algebra, Summer B 2007...

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Unformatted text preview: MAC1140, Precalculus Algebra, Summer B 2007 Review Problems for Exam 2 1. Perform the operations and write the answer as a complex number in standard form. a) (5+ i )(2- 3 i ) b) 2+5 i 2- 7 i c) i 3 ( i 2 + i +1) d) i 2007 e) p (4 + 3 i )(3 i- 4) f) (3 + i ) · i 2. True or False? a) The equation x 2 + 2 x + 3 = 0 has two complex solutions that are conjugate. b) √- 7 =- √ 7 i c) √- 2 · √- 8 = p (- 2)(- 8) d) 4 =- 4 3. Solve a) x 2 + x + 3 = 0, b)- 2 x 2- 5 x- 7 = 0, c) 3 x 2 + x- 2 = 0. 4. Find the real solutions of the following equations. a) √ 5 x + 1- 9 = 0 b) (4- x ) 2 / 5- 4 = 0 c) √ x 2- 8 = 2- x d) √ 3 x + 7- √ 2 x + 3 = 1 e) √ 5 x 2 + 3 x- 5 = 2 x + 1 5. Find the real solutions of each equation: a) x 8- 15 x 4- 16 = 0 b) 2(3 x- 1) 1 / 2- 3(3 x- 1) 1 / 4 + 1 = 0 c) ( y 2- 9)- 3 p y 2- 9- 4 = 0 d) ( 2 x +1 2 x- 1 ) 2- 3 ( 2 x +1 2 x- 1 )- 2 = 0 e) 2 x 3 + 18 x = x 2 + 9 6. Find all real solutions of the following equations....
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This note was uploaded on 06/09/2011 for the course MAC 1140 taught by Professor Williamson during the Summer '08 term at University of Florida.

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review2 - MAC1140, Precalculus Algebra, Summer B 2007...

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