La fracción es: 12/x
Planteamiento:
12/(x-1) = 12/x + 1
MCM: x(x-1)
12x = 12(x-1) + x(x-1)
12x = 12x - 12 + x² - x se cancela 12x
0 = x² - x - 12
(x-4)(x+3) = 0
x -4 = 0 x+3 = 0
x = 4 x = -3
Existen 2 soluciones .- La fracción 12/x puede ser:
12/4 ó 12/(-3) = -12/3
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Verified answer
La fracción es: 12/x
Planteamiento:
12/(x-1) = 12/x + 1
MCM: x(x-1)
12x = 12(x-1) + x(x-1)
12x = 12x - 12 + x² - x se cancela 12x
0 = x² - x - 12
(x-4)(x+3) = 0
x -4 = 0 x+3 = 0
x = 4 x = -3
Existen 2 soluciones .- La fracción 12/x puede ser:
12/4 ó 12/(-3) = -12/3