Solve . #(2m+3)+12/(2m+3)+13=0#?

1 Answer
Nallasivam V
May 14, 2018

#m=-2#
#m=-7.5#

Explanation:

Given-

#(2m+3)+12/(2m+3)+13=0#

Multiply both sides with #(2m+3)#

#[(2m+3)(2m+3)]+[12/(2m+3)(2m+3)]+[13(2m+3)]=0(2m+3)#

#[(2m+3)(2m+3)]+[12/cancel(2m+3)cancel(2m+3)]+[13(2m+3)]=0(2m+3)#

#4m^2+12m+9+12+26m+39=0#

#4m^2+38m+60=0#

#m=[-b+-sqrt(b^2-4ac)]/(2a)#

#m=[-38+-sqrt(38^2-(4xx4xx60))]/(2xx4)#

#m=[-38+-sqrt(1444-960)]/8#

#m=[-38+-sqrt(484)]/8 = [-38+-22]/8#

#m=(-38+22)/8=(-16)/8=-2#

#m=(-38-22)/8=(-60)/8=-7.5#

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