Question

Resolva está equação

$\frac{4}{x + 3} - \frac{2}{x + 1} = \frac{5}{2x + 6} - \frac{2}{x + 3}$

Answer 1

Resolução!



4 / x + 3 - 2 / x + 1 = 5 / 2x + 6 - 2 / x + 3


4 ( x + 1 ) - 2 ( x + 3 ) = 5 ( x + 3 ) - 2 ( 2x + 6 )



4x + 4 - 2x - 6 = 5x + 15 - 4x - 12



4x - 2x - 5x + 4x = 15 - 12 - 4 + 6



X = 5




espero ter ajudado

Answer 2

mmc=

(x+3),(x+1),2.(x+3),(x+3)/(x+3)
1,(x+1),2,1/(x+1)
1,1,2/2
1
mmc=2.(x+1).(x+3)

4/(x+3)-2/(x+1)=5/2.(x+3)-2/(x+3)


=4.(2x+2)-4.(x+3)=5.(x+1)-2.(2x+2)

8x+8-4x-12=5x+5-4x-4

8x-4x-5x+4x=-4+5-8+12

4x-x=1+4

3x=5

x=5/3


espero ter ajudado!

boa tarde!

****