QUESTION NO.19

Asked by mkp400 | 17th Dec, 2017, 12:42: PM

Expert Answer:

begin mathsize 16px style fraction numerator 4 straight z plus 17 over denominator 18 end fraction minus fraction numerator 13 straight z minus 2 over denominator 17 straight z minus 32 end fraction plus straight z over 3 equals fraction numerator straight z plus 60 over denominator 36 end fraction
fraction numerator begin display style 4 straight z plus 17 end style over denominator begin display style 18 end style end fraction minus fraction numerator begin display style straight z plus 60 end style over denominator begin display style 36 end style end fraction plus fraction numerator begin display style straight z end style over denominator begin display style 3 end style end fraction equals fraction numerator begin display style 13 straight z minus 2 end style over denominator begin display style 17 straight z minus 32 end style end fraction
fraction numerator begin display style 4 straight z plus 17 end style over denominator begin display style 18 end style end fraction minus fraction numerator begin display style straight z plus 60 end style over denominator begin display style 36 end style end fraction plus fraction numerator begin display style straight z end style over denominator begin display style 3 end style end fraction equals fraction numerator begin display style 13 straight z minus 2 end style over denominator begin display style 17 straight z minus 32 end style end fraction
lcm left parenthesis 18 comma 36 comma 3 right parenthesis equals 36
multiply space by space 36 space on space both space sides
8 straight z plus 34 minus straight z minus 60 plus 12 straight z equals fraction numerator begin display style 13 straight z minus 2 end style over denominator begin display style 17 straight z minus 32 end style end fraction cross times 36
19 straight z minus 26 equals fraction numerator begin display style 13 straight z minus 2 end style over denominator begin display style 17 straight z minus 32 end style end fraction cross times 36
open parentheses 19 straight z minus 26 close parentheses open parentheses 17 straight z minus 32 close parentheses equals 468 z minus 72
323 z squared minus 1050 z plus 832 equals 468 z minus 72
323 z squared minus 1518 z plus 904 equals 0
use
straight z equals fraction numerator negative straight b plus-or-minus square root of straight b squared minus 4 ac end root over denominator 2 straight a end fraction
you space will space get space
straight z equals 4 space and space straight z equals 226 over 323


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Answered by Arun | 17th Dec, 2017, 07:44: PM