Question

Equação fracionária do 2 grau

1* 5x X-4 -4
---- - ---- = ----
X-1 X+1 X²-1


2* 1-4X 7-20X 3
----- = ------- + -------
X 1+4X X+4X²


3* 9X X-2 12
---- - ----- = --------
6-X X 6X-X²

Answer 1

Oi Laine

1•  

5x/(x - 1) - (x - 4)/(x + 1) = -4/(x² - 1)

mmc = (x - 1)*(x + 1)

5x*(x + 1) - (x - 1)*(x - 4) = -4

5x² + 5x - x² + 5x - 4 = -4 

4x² + 10x = 0

x*(4x + 10) = 0

x1 = 0
x2 = -10/4 = -5/2

2• 

(1 - 4x)/x = (7 - 20x)/(1 + 4x) + 3/(x*(1 + 4x))

mmc = x*(1 + 4x)

(1 - 4x)*(1 + 4x) = x*(7 - 20x) + 3

-16x² + 1 = 7x - 20x² + 3

4x² - 7x - 2 = 0 

delta
d² = 49 + 32 = 81
d = 9

x1 = (7 + 9)/8 = 16/8 = 2
x2 = (7 - 9)/8 = -2/8 = -1/4 


3• 

9x/(6 - x) - (x - 2)/x = 12/(x*(6 - x))

mmc = x*(6 - x)

9x² - (x - 2)*(6 - x) = 12

9x² + x² - 8x + 12 = 12

10x² - 8x = 0
5x² - 4x = 0

x*(5x - 4) = 0

x1 = 0
x2 = 4/5 

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