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Jawaban Terkonfirmasi
12.]
2x + y = -4
y = -4 – 2x … (i)
x² + 5y = 16 , Subt. persamaan (ii)
x² + 5(-4 – 2x) = 16
x² – 20 – 10x = 16
x² – 10x – 36 = 0
x₁ + x₂ = -b/a = 10
[A]
13.]
3³⁻ˣ + 3ˣ = 12
3³ / 3ˣ + 3ˣ = 12 [× 3ˣ]
27 + (3ˣ)² = 12 × 3ˣ
(3ˣ)² – (12 × 3ˣ) + 27 = 0
(3ˣ – 9)(3ˣ – 3) = 0
3ˣ = 9 atau 3ˣ = 3
x = 2 atau x = 1
x₂ – x₁ = 1 – 2 = -1
[C]
14.]
2ˣ⁺¹ ≥ (⅛)ˣ⁻³
2ˣ⁺¹ ≥ (2⁻³)ˣ⁻³
x + 1 ≥ -3x + 9
4x ≥ 8
x ≥ 2
[D]
15.]
-3(x² – x) < -2(x + 1)
-3x² + 3x < -2x – 2
-3x² + 5x + 2 < 0
3x² – 5x – 2 > 0
(3x + 1)(x – 2) > 0
x < – ⅓ atau x > 2
[C]