12xtrzeciej-8xdokwadratu-27x+18=0
12x³ - 8x² - 27x + 18 = 0
4x²(3x - 2) - 9(3x - 2) = 0
(4x²-9)(3x-2) = 0
4x² - 9 = 0
4x² = 9
x² = 9/4
x = 3/2 ∨ x = -3/2
3x - 2 = 0
3x = 2
x = 2/3
Odp. x = 3/2 lub x = -3/2 lub x = 2/3
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Pozdrawiam :)
12x³ - 8x² -27x + 18 = 04x²(3x-2) -9(3x -2) = 0(4x²-9)(3x-2) = 0(2x-3)(2x+3)(3x-2)=0x₁= 1½ x₂= -1½ x₃=⅔
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12x³ - 8x² - 27x + 18 = 0
4x²(3x - 2) - 9(3x - 2) = 0
(4x²-9)(3x-2) = 0
4x² - 9 = 0
4x² = 9
x² = 9/4
x = 3/2 ∨ x = -3/2
3x - 2 = 0
3x = 2
x = 2/3
Odp. x = 3/2 lub x = -3/2 lub x = 2/3
----------------------------------------------------------------------------------------------------------
Feci, quod potui, faciant meliora potentes
Pozdrawiam :)
12x³ - 8x² -27x + 18 = 0
4x²(3x-2) -9(3x -2) = 0
(4x²-9)(3x-2) = 0
(2x-3)(2x+3)(3x-2)=0
x₁= 1½ x₂= -1½ x₃=⅔