Question

simplifique 6x/x+1-5x/x-1=4x+x/x2-1

Answer 1

Resolução

6x/x+1 - 5x/x-1 = 4x+x/x²-1

6x/x+1 - 5x/x-1 = 5x/x²-1

6x/x+1 - 5x/x-1 - 5x/(x-1)(x+1) = 0

6x(x-1) - 5x(x+1) - 5x = 0

6x² - 6x - 5x² - 5x - 5x = 0

6x² - 5x² - 6x - 5x - 5x = 0

x² - 16x = 0
x(x - 16) = 0

x' = 0

x - 16 = 0
x" = 16

S= { 0 ; 16 }