Si us plau ajuda? x / x-2 + x-1 / x + 1 = -1

Resposta:

# x ^ 2 + x-1 = 0, x! = 0 #

Explicació:

# x / x-2 + x-1 / x + 1 = -1 #

multiplicar per # x #:

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

# x-2x + x ^ 2-1 + x = -x #

# x-2x + x ^ 2-1 + x + x = 0

# x ^ 2 + x-1 = 0 #

Resposta:

Si vols dir # x / (x-2) + (x-1) / (x + 1) = - 1 # llavors arribem

# x = 0 #

o bé # x = 1 #

Explicació:

Ha de ser

#xne 2 # i #xne -1 #

Multiplicant per

# (x + 1) (x-2) #

obtenim

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

multiplicant

# x ^ 2 + x + x ^ 2-x-2x + 2 = -x ^ 2-x + 2x + 2 #

Recollida

# 3x ^ 2-3x = 0 #

o bé

# 3x (x-1) = 0 #

tan

# x = 0 #

o bé

# x = 1 #