Question #918e5

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Answer 1 · 2017-04-09T14:22:01

#x =-1 /2+-sqrt (1/4 - ln 2) #
or
#x = -0.500+-0.666i #

#ln 2 -x - ln 4 - x^2 =0#

#ln 2 - ln 4 = x^2 + x#

#ln 2 - ln 2^2 = x^2 + x#

#ln 2 - 2 ln 2 = x^2 + x#

#- ln 2 = x^2 + x#

#- ln 2 = (x + 1/2)^2 - (1/2)^2#

#1/4 - ln 2 = (x + 1/2)^2 #

#+-sqrt (1/4 - ln 2) = x + 1/2 #

#-1 /2+-sqrt (1/4 - ln 2) = x #

#-0.500+-sqrt (0.250 - 0.693) = x #

#-0.500+-sqrt ( - 0.443) = x #

#-0.500+-sqrt ( 0.443 * (-1)) = x #

#-0.500+-sqrt ( 0.443 * (i^2)) = x # , where #i^2 = -1#

#-0.500+-sqrt ( 0.443 )i = x#

#-0.500+-0.666i = x #