Jawab:
Penjelasan dengan langkah-langkah:
a. 2x - 9/x = 3 (semua dikali x)
2x² - 9 = 3x
2x² - 3x - 9 = 0
(2x + 3)(x - 3) = 0
2x = -3 dan x = 3
x₁ = -3/2 dan x₂ = 3
b. 1/3 x² - 4/3 x = -1 (semua dikali 3)
x² - 4x = -3
x² - 4x + 3 = 0
(x - 1)(x - 3) = 0
x₁ = 1 dan x₂ = 3
c. x/2 - 3/x = 1/2 (semua dikali 2x)
x² - 6 = x
x² - x - 6 = 0
(x + 2)(x - 3) = 0
x₁ = -2 dan x₂ = 3
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Jawab:
Penjelasan dengan langkah-langkah:
a. 2x - 9/x = 3 (semua dikali x)
2x² - 9 = 3x
2x² - 3x - 9 = 0
(2x + 3)(x - 3) = 0
2x = -3 dan x = 3
x₁ = -3/2 dan x₂ = 3
b. 1/3 x² - 4/3 x = -1 (semua dikali 3)
x² - 4x = -3
x² - 4x + 3 = 0
(x - 1)(x - 3) = 0
x₁ = 1 dan x₂ = 3
c. x/2 - 3/x = 1/2 (semua dikali 2x)
x² - 6 = x
x² - x - 6 = 0
(x + 2)(x - 3) = 0
x₁ = -2 dan x₂ = 3