(6+1/3x) (-1/3x+6) + (1/3x-4)do kwadratu=4
( 6 + 1/3 x) (- 1/3 x + 6) + ( 1/3x - 4)² = 4
(6 + 1/3 x) (6 - 1/3 x) + ( 1/9 x² - 8/3 x + 16) = 4
36 - 1/9 x² + 1/9 x² - 8/3 x + 16 = 4
- 8/3 x = 4 -16 - 36
- 8/3 x = - 48 / · (- 3/8)
x = - 48 ·(- 3/8) = 6 · 3 =18
x = 18
zastosowane wzory skróconego mnożenia :
( a+b)(a-b) = a²-b²
(a-b)² = a²-2ab+b²
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( 6 + 1/3 x) (- 1/3 x + 6) + ( 1/3x - 4)² = 4
(6 + 1/3 x) (6 - 1/3 x) + ( 1/9 x² - 8/3 x + 16) = 4
36 - 1/9 x² + 1/9 x² - 8/3 x + 16 = 4
- 8/3 x = 4 -16 - 36
- 8/3 x = - 48 / · (- 3/8)
x = - 48 ·(- 3/8) = 6 · 3 =18
x = 18
zastosowane wzory skróconego mnożenia :
( a+b)(a-b) = a²-b²
(a-b)² = a²-2ab+b²