behappy0217
behappy0217 behappy0217
  • 17-06-2016
  • Mathematics
contestada

Solve the equation. Show all your work.
x/x-2+x-1/x+1=-1

Respuesta :

vadimbur
vadimbur vadimbur
  • 17-06-2016
multiply both sides by (x-2)(x+1) to clea fractions
x(x+1)+(x-1)(x-2)=(-1)(x-2)(x+1)
distribute
x^2+x+x^2-3x+2=-x^2+x-2
add like terms
2x^2-2x+2=-x^2+x+2
add x^2 to both sdes
3x^2-2x+2=x+2
minus x from both sides
3x^2-3x+2=2
minus 2 both sides
3x^2-3x=0
factor
(3x)(x-1)=0
set to zero

3x=0
x=0

x-1=0
x=1

x=0 or 1
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