x-4 4x-44 16-x
------- + ---------- = ----------
6 x-6 2
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x - 6 ≠ 0
x ≠ 6
------- + ---------- = -------
(x-4)(x-6) 6(4x-44) 16-x
--------------- + --------------- = ----------
6(x-6) 6( x-6) 2
x² - 6x - 4x + 24 24x - 264 16 - x
-------------------- + -------------- = ---------
6(x - 6) 6(x - 6) 2
x² - 6x - 4x + 24 + 24x - 264 16 - x
-------------------------- -------------- = ---------
6(x - 6) 2
x² + 14x - 240 16 - x
--------------------= ----- ----
6(x - 6)*(16 - x) = 2(x² + 14x - 240 )
6(16 - x² - 96 + 6x) = 2x² + 28x - 480
96 - 6x² - 576 + 36x = 2x² + 28x - 480
- 6x² - 480 + 36x - 2x² - 28x + 480 = 0
-8x² + 8x = 0
-8x(x - 1) = 0
-8x = 0 lub x - 1 = 0
x = 0 x = 1
odp. x = 0 lub x = 1
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x - 6 ≠ 0
x ≠ 6
x-4 4x-44 16-x
------- + ---------- = -------
6 x-6 2
(x-4)(x-6) 6(4x-44) 16-x
--------------- + --------------- = ----------
6(x-6) 6( x-6) 2
x² - 6x - 4x + 24 24x - 264 16 - x
-------------------- + -------------- = ---------
6(x - 6) 6(x - 6) 2
x² - 6x - 4x + 24 + 24x - 264 16 - x
-------------------------- -------------- = ---------
6(x - 6) 2
x² + 14x - 240 16 - x
--------------------= ----- ----
6(x - 6) 2
6(x - 6)*(16 - x) = 2(x² + 14x - 240 )
6(16 - x² - 96 + 6x) = 2x² + 28x - 480
96 - 6x² - 576 + 36x = 2x² + 28x - 480
- 6x² - 480 + 36x - 2x² - 28x + 480 = 0
-8x² + 8x = 0
-8x(x - 1) = 0
-8x = 0 lub x - 1 = 0
x = 0 x = 1
odp. x = 0 lub x = 1