Question 202149


{{{1-7/b=(-48b)/(b^2+7b)}}} =  {{{1/1-7/b=(-48b)/(b^2+7b)}}}



Multiply by LCD ({{{b(b+7)}}})        {{{b^2+7b-7(b+7)=-48b}}}


{{{b^2+7b-7b-49=-48b}}}


{{{b^2+48b-49=0}}}


(b + 49)(b – 1) = 0


b = {{{highlight_green(-49)}}} or {{{highlight_green(1)}}}


{{{highlight(Check)}}}: 


b = - 49
{{{1-7/b = (-48b)/(b^2+7b)}}}  or  {{{1/1-7/-49 = (-48*-49)/(-49^2+7(-49))}}}   or   {{{(-49-7)/-49=(-48*-49)/((-49)^2-343)}}} 


{{{(-56)/-49=2352/(2401-343)}}}  or  {{{8/7=2352/2058}}} 


{{{8/7=8/7}}} (TRUE)


b = 1
{{{1-7/b = (-48b)/(b^2+7b)}}}   or   {{{1-7/1 = (-48)/(1+7)}}}  or   {{{1-7 = (-48)/8}}}  

- 6  =  - 6 (TRUE)