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9 - 6x + x² -
9 - 6x + x²-
b) 4 (1/2x -3)² = (2 - x)²
4 (1/4x² - 3x + 9) = 4 -4x + x²
x² - 12x +36 = 4 - 4x +x²
x² - 12x + 36 - 4 + 4x - x² = 0
- 8x + 32 = 0
-8x = -32 /: (-8)
x = 4
c) ( 6 + 1/3x) · (-1/3x + 6) + (1/3x -4)² = 4
(6 + 1/3x) · (6 - 1/3x) + 1/9x² - 8/3x + 16 - 4 = 0
6² - (1/3x)² + 1/9x² - 8/3x + 12 = 0
36 - 1/9x² +1/9x² -8/3x + 12 = 0
- 8/3x +48 = 0
-8/3x = -48 /: (-8/3)
x = -48 * (-3/8)
x = 18
d) (- 4x - 3) · (4x - 3) + 8(1 - √2x)² = 1
-( 4x +3) · (4x -3) + 8(1 - 2√2x+ 2x²) = 1
- ( 16x² - 9) + 8 - 16√2x + 16x² - 1 = 0
-16x² + 9 +7 - 16√2x + 16x² = 0
- 16√2x + 16 = 0
- 16√2x = -16 /: (-16√2)
x = 1/ √2 = √2 / 2
zad.3
a)
b)
c)
d)
e)