3x²+5x-5=0 kerjakan dengan menggunakan cara kuadrat sempurna ​

Penjelasan dengan langkah-langkah:

3x² + 5x – 5 = 0

x² + 5/3x – 5/3 = 0

x² + 5/3x = 5/3

(x + 5/6)² – (5/6)² = 5/3

(x + 5/6)² – 25/36 = 5/3

(x + 5/6)² = 5/3 + 25/36

(x + 5/6)² = 60/36 + 25/36

(x + 5/6)² = 85/36

x + 5/6 = ±√(85/36)

x + 5/6 = ± (√85)/6

x = -5/6 ± (√85/6)

x₁ = -5/6 + √85)/6

x₁ = 1/6(-5 + √85)

x₂ = -5/6 – √85)/6

x₂ = 1/6(-5 – √85)