Question

ayudenmen a resolver ecuaciones fraccionarias:

 4x             10

 _____   =    ____

  x+1           3x+1

Answer 1

4x             10

 _____   =    ____

  x+1           3x+1

 

4x(3x+1)=10(x+1)

12x²+4x=10x+10

12x²+4x-10x-10=0

12x²-6x-10=0

simplificas  y aspa simple

y te quedan así:

6x²-3x-5=0

 

6(x²-3x/6-5/6)=0

6(x²-x/2-5/6)=0

6(x²-2.1/2.x/2-(1/16)+(1/16)-5/6)=0

(x²-2.1/4.x+1/16) -1/16-5/6=0

(x-1/4)²-37/48=0

(x-1/4)²=37/48

x-1/4=(37/48)²

x=(37/48)²+1/4

x=7780/9216

 

SUERTE!!!