Proszę o rozwiązanie równania ( wzory skróconego mnożenia )
3x⁴ = 6x² - 3
3x⁴ - 6x² + 3 = 0 /:3
x⁴ - 2x² + 1 = 0
(x²)² - 2x² + 1² = 0
(x² - 1)² = 0
(x² - 1)² = 0²
x² - 1 = 0
x² = 1
x = 1 lub x = -1
3x⁴-6x²+3=0
x²=t
3t²-6t+3=0
Δ=b²-4ac=36-36=0
t=-b/2a=6/6=1
x=±1
lub
3x⁴-6x²+3=0 /:3
x⁴ - 2x²+1=0
(x²-1)²=0
x²-1=0
x²=1
(a-b)²=a²-2ab+b²
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3x⁴ = 6x² - 3
3x⁴ - 6x² + 3 = 0 /:3
x⁴ - 2x² + 1 = 0
(x²)² - 2x² + 1² = 0
(x² - 1)² = 0
(x² - 1)² = 0²
x² - 1 = 0
x² = 1
x = 1 lub x = -1
3x⁴-6x²+3=0
x²=t
3t²-6t+3=0
Δ=b²-4ac=36-36=0
t=-b/2a=6/6=1
x²=t
x=±1
lub
3x⁴-6x²+3=0 /:3
x⁴ - 2x²+1=0
(x²-1)²=0
x²-1=0
x²=1
x=±1
(a-b)²=a²-2ab+b²