Rozwiąż równanie:
x²(2x-3)(x+2)=x³-2x²
x²(2x²+4x-3x-6)=x³-2x²
2x^4+4x³-3x³-6x²=x³-2x² /-x³
2x^4-6x²=-2x² /+2x²
2x^4-4x²=0
2x^2(x²-2)=0
2x^2(x-√2)(x+√2)=0
x=0 lub x=-√2 lub x=√2
x²(2x - 3)(x + 2)=x³ - 2x²
x²(2x² + 4x - 3x - 6) = x³ - 2x²
2x^4 + 4x³ - 3x³ - 6x² - x³ + 2x² = 0
2x^4 - 4x² = 0
2x²(x² - 2) = 0
2x²(x - √2)(x + √2) = 0
2x² = 0 lub x - √2 = 0 lub x + √√2 = 0
x = 0 lub x = √2 lub x = -√2
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x²(2x-3)(x+2)=x³-2x²
x²(2x²+4x-3x-6)=x³-2x²
2x^4+4x³-3x³-6x²=x³-2x² /-x³
2x^4-6x²=-2x² /+2x²
2x^4-4x²=0
2x^2(x²-2)=0
2x^2(x-√2)(x+√2)=0
x=0 lub x=-√2 lub x=√2
x²(2x - 3)(x + 2)=x³ - 2x²
x²(2x² + 4x - 3x - 6) = x³ - 2x²
2x^4 + 4x³ - 3x³ - 6x² - x³ + 2x² = 0
2x^4 - 4x² = 0
2x²(x² - 2) = 0
2x²(x - √2)(x + √2) = 0
2x² = 0 lub x - √2 = 0 lub x + √√2 = 0
x = 0 lub x = √2 lub x = -√2