# 3-24-1 - New York Institute of Technology Mathematics...

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New York Institute of Technology Mathematics Department - Pre-Calculus Study Guide G. Lancer Solution Guide to some of the problems that were not discussed in class on 3/24. Page 137 # 1 94 ab i i Here a and b += −+ =− = Page 137 # 3 (1 ) (3 )58 15 6 38 5 ii Here a or a and b or b −+ + =+ == + Page 137 # 17 8 ) ( 8 5 0 ) 84 2 2 2 50 25 2 5 2 8 8 5 0 ) (1 2 2 8 5 2 ) (1 8 2 2 5 2 ) 732 First i and i i −+ − + − − −=− = = =−+ + − =−+ + Page 137 # 33 () 2 14 10 14 10 14 14 14 10 10 14 10 10 14 14 10 14 10 10 14 0 10 24 i i i +− +− + ++ Page 137 # 45 2 66 6 6 6 1 i i i i ⎛⎞ = == = ⎜⎟ ⎝⎠ Page 137 # 47 2 22 4 5 45 45 45 81 0 0 0 16 25 16 25 41 i i i i + = −−+ +++ = + In both problems # 45 and # 47 the process is also called rationalizing the denominator.

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Page 137 # 55 2 2 23 . 11 2 1 22 22 22 1 1 1 2 3 1 33 33 33 1 1 : 232 2 3 3 2 2 22 ( 33 ) 2 15 2 First rationalize each fraction ii i i i i i i Now i +− −−−− ⎛⎞ === ⎜⎟ + ⎝⎠ ++++ −+ + −= −−+ = −− = Page 138 # 59 ( ) () 3 3 75 75 25 3 5 3 7 5 53 535353 125 3 3 375 3 375 3 375 3 First i i iii i i io r i = = = = =− Page 138 # 63 3 3 2 2 3 2 3 )2 )1 3 ?
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3-24-1 - New York Institute of Technology Mathematics...

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