Question

me ajudem e urgente por favor​

Answer 1

Resposta:

a)

2*(x+1)=5*(2x-1)

2x+2=10x-5

8x=7  ==>x=7/8

b)

2*(x+1)=3*(2-x)

2x+2=6-3x

5x=4

x=4/5

c)

x/(x-1) +(x-1)/(x+1)=2

[x*(x+1)+(x-1)²]/(x-1)*(x+1)=2

[x*(x+1)+(x-1)²] = 2*(x-1)*(x+1)

x²+x+x²-2x+1 =2x²-2

x-2x+3 =0

-x=-3

x=3

d)

(x+1)/(x-1) -x/(x+5)=0

(x+1)/(x-1)= x/(x+5)=0

(x+1)*(x+5)=x*(x-1)

x²+5x+x+5=x²-x

5x+2x+5=0

7x=-5

x=-5/7

e)

2/(x-2)=1/(x+2)+1/x

2/(x-2)=(x+x+2)/x*(x+2)

2/(x-2)=(2x+2)/x*(x+2)

1/(x-2)=(x+1)/x*(x+2)

x*(x+2)=(x+1)*(x-2)

x²+2x=x²-2x+x-2

2x=-x-2

3x=-2

x=-2/3