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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