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Introductory & Intermediate Algebra for College Students : by Michael Sullivan, Kevin Bodden, Randy Gallaher

By Michael Sullivan, Kevin Bodden, Randy Gallaher

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A, x '# 1 2X2 - 2x = 2X2 - 2a2 -2x = -2a2 -2x -2a2 -2 -2 x = a2 79 x + 2a = 16 + ax - 6a, if x = 4 4 + 2a = 1 6 + a( 4) - 6a 4 + 2a = 16 + 4a - 6a 4 + 2a = 1 6 - 2a 4a = 1 2 4a 1 2 4 4 a=3 1 1 1 -= -+R R, R 2 1 RR' R = RR' R � + _ 2 R 2 R, R 2 R, R = RR + RR, 2 2 R, R = R(R + R, ) 2 2 R, � R(R + R, ) 2 � + R, R + R, 2 R, R 2 =R R + R, 2 (�) ( . mv2 R m 2 RF = R F= F ( ;] F mv2 R =­ F ] 81. S=� 1-r S(l - r) = � (1 - r) 1-r S - Sr = a S - Sr - S = a - S -Sr = a - S -Sr a - S -S -S S-a r = -S ( ) 37 © 2008 Pearson Education , Inc " Upper Saddle River, Nl All rights reserved , This material is protected under all copyright laws as they curren tly exist No portion of this materi al may be reproduced, in any form or by any means , without permission in wri ting from the publi sher- Chapter 1 : Equations and Inequalities 83.

B. 4(3x + St3 (2x + 3)3 / 2 + 3 (3x + St 3 ( 2x + 3t 2 = (3x + S) 1 / 3 ( 2x + 3 y / 2 [ 4(2x + 3) + 3(3x + S) ] = ( 3x + St3 (2x + 3t 2 (8x + 12 + 9x + lS ) = (3x + st3 (2x + 3) 1 1 2 (17x + 27) 3 . 2 where x � 4 . 8853 1 793 1 1 09. T V = 40(12/ ��� - 0. 608 "'" IS, 660 . 4 gallons 9 V = 40 ( 1 ) 2 � 6 -0 . 7 gallons 1 = 21r m. 89 seconds -- 23 © 2008 Pearson Education, Inc . , Upper Saddle River, NJ. All rights reserved. Thi s material is protected under all copyright laws as they currently exist.

67. x2 - 6x + 13 = 0 a = 1, b = -6, c = 1 3, b2 - 4ac = (- 6l - 4(1)(13) = 36 - 52 = -16 ±� -16 = -6 ± 4i = 3 + 21. x = -(-6)2(1) 2 The solution set is { 3 - 2i, 3 + 2i} . x2 - 6x + 1 0 = 0 a = 1, b = -6, c = 10 b2 -4ac = (_ 6)2 - 4(1)(10) = 36 - 40 = -4 ± 6 ± 2i = 3 ± 1. j=4 = -2 The solution set is { 3 - i, 3 + i} . 69. 8x2 - 4x + l = 0 a = 8, b = -4,c = 1 b2 - 4ac = (_ 4)2 - 4(8)(1) = 1 6 - 32 = -16 ±� -16 =-4 ± 4i = -1 ± -I 1. x = -(-4)2(8) 16 4 4 ' set . "4I -"41/. , "41 +"4I 1. The sol utlOn { 71.

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