Ada yang bisa bantu jawab? Nomor 2 saja.
Matematika
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Ada yang bisa bantu jawab? Nomor 2 saja.
1 Jawaban
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1. Jawaban nurrafi77
x + 3y = 5
x = 5 - 3y
x² + y² = 25
(5 - 3y)² + y² = 25
25 - 30y + 9y² + y² = 25
10y² - 30y = 25 - 25
10y² - 30y = 0 dibagi 10
y² - 3y = 0
y(y - 3) = 0
y₁ = 0 dan y₂ = 3
jika y₁ = 0 maka
x + 3y = 5
x₁ + 3(0) = 5
x₁ = 5
jika y₂ = 3
x + 3y = 5
x₂ + 3(3) = 5
x₂ = 5 - 9
= - 4
{(x₁,y₁) ; (x₂,y₂)} adalah {(5,0) ; (-4,3)}
nilai x₁.x₂ + y₁.y₂ = 5 . (-4) + (0) (3)
= - 20
2) 5x - 3y = 15
5x = 3y + 15
x = 3/5 y + 3
5x² + 9y² = 45
5(3/5y + 3)² + 9y² = 45
5(9/25 y² + 18/5 y + 9) + 9y² = 45
9/5 y² + 18y + 45 + 9y² = 45
9/5 y² + 45/5 y² + 18 y = 45 - 45
54/5 y² + 18 y = 0
y(54/5y + 18) = 0
y₁ = 0
54/5 y₂ + 18 = 0
54/5 y₂ = - 18
y₂ = - 18 x 5/54
= - 10/6
jika y₁ = 0 maka
5x - 3y = 15
5x₁ - 3(0) = 15
5x₁ = 15
x₁ = 15/5
= 3
jika y₂ = - 10/6
5x + 3y = 15
5x₂ + 3 (-10/6) = 15
5x₂ - 5 = 15
5x₂ = 15 + 5
x₂ = 20/5
x₂ = 4
nilai dari x₁.x₂ = 3 x 4
= 12