Alex Bellos's Alex au pays des chiffres PDF

By Alex Bellos

ISBN-10: 2221122933

ISBN-13: 9782221122938

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I100 = 25(i + i 2 + i 3 + i 4 ) = 25(i + ( −1) + ( −i ) + 1) = 25(0) = 0 Copyright © Houghton Mifflin Company. All rights reserved. Chapter Review 31 ....................................................... Exploring Concepts with Technology Can You Trust Your Calculator? 1. 4188950251 ....................................................... Assessing Concepts 1. True 2. False 3. Any real number a between 0 and 1 4. Any negative integer n 5. −3x 2 + 6 x − 7 6. b 7. c 8. a 9. e 10. c 11. b 12. e .......................................................

2x + 7 = 2x + 7 if 2 x + 7 ≥ 0 if 3x − 11 ≥ 0 3x ≥ 11 x ≥ 11 3 3x − 11 = −3x + 11 6 x = 22 x = 11 3 if 2 x + 7 < 0 7 x≥− 2 2x + 7 = 2x + 7 an identity 3x − 11 = −3 x + 11 7 x<− 2 2 x + 7 = −( 2 x + 7) 2 x + 7 = −2 x − 7 4 x = −14 7 x=− 2 if 3x − 11 < 0 3x < 11 x < 11 3 3x − 11 = −( −3x + 11) an identity {x | x ≤ 113 } The case 2x + 7 < 0 has no solution since there is no real number x such that x < − 7 and x = − 7 . 2 2 7⎫ ⎧ ⎨x | x ≥ − ⎬ 2⎭ ⎩ .......................................................

Chapter Test 2 3 1 2 6 ( 2a −1bc −2 ) 22 a −2 b2 c −4 = = 2 ⋅ 2 3⋅ 32 ⋅ 4b c 3 ba a c ( 3−1 b )( 2−1 ac −2 ) ( 3−1 b )( 2−3 a 3c −6 ) 4. 2] 5 a a 6. 2] 7. 2] x −1 / 2 y3 / 2 y9 / 4 8. 2] x 9. 2] 2x 2 10. 2] ⋅ = x−4 x +2 x −2 Copyright © Houghton Mifflin Company. All rights reserved. Chapter Test 35 11. 3] 12. 4] 13. 4] 14. 4] 15. 4] 16. 5] ⎜ ⎟⎜ ⎟ ⎜ ⎟ (5 − x )(5 + x ) ⎝ 5 − x ⎠⎝ x + 5 ⎠ x+5 ⎝ x + 5⎠ 25 − x 2 17. 5] − 2 2 = − = x + x − 6 x − 5 x + 6 ( x − 2)( x + 3) ( x − 2)( x − 3) ( x − 2)( x + 3) ( x − 3) 2 ( x − 6)( x + 1) x 2 − 5x − 6 = x − 3x − 2 x − 6 = = ( x − 2)( x + 3) ( x − 3) ( x − 2)( x + 3) ( x − 3) ( x − 2)( x + 3) ( x − 3) 18.

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Alex au pays des chiffres by Alex Bellos


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