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If #c=(2ab)/(a+b)# then #b=#?

1 Answer

Jul 14, 2016

#color(blue)(b=(ac)/(2a-c)#

Explanation:

#c=(2ab)/(a+b)#

#color(white)("XXX")rArr c(a+b)=2ab#

#color(white)("XXX")rArr ac=2ab-cb#

#color(white)("XXX")rArr ac = (2a-c)b#

#color(white)("XXX")rArr b=(ac)/(2a-c)#

Note: in order to obtain a meaningful result we have needed to assume (for example) #2a-c!=0#

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