Question

Resolva a seguinte equação : 3x-1/2x -1 + 3x+2/2x+1 = 3 - 1/4x² -1

Answer 1

Então: x - 3 / x^2 - 4 + 1 = 1 / x - 2 x - 3 / (x + 2).(x - 2) + 1 = 1 / x - 2 1.(x - 3)/(x + 2).(x - 2) + 1.(x+ 2).(x - 2)/(x + 2).(x - 2) = 1.(x + 2)/(x + 2).(x - 2) x - 3 + (x + 2).(x - 2) = x + 2 x - 3 + x^2 - 4 = x + 2 x^2 + x - x - 7 - 2 = 0 x^2 - 9 = 0 x^2 = 9 x = +-√9 x = +-3 S = {3,-3}