1). x³ - 25x = 0
x(x² - 25) = 0
x(x - 5)(x + 5) = 0
x₁ = 0
x₂ = 5
x₃ = -5
Ответ: {-5; 0; 5}
2). x - 10x² + 25x³ = 0
x(1 - 10x + 25x²) = 0
x(5x - 1)² = 0
x₂ = 0,2
Ответ: {0; 0,2}
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Answers & Comments
Verified answer
Х³-25х=0х(х²-25)=0
х=0
х=5
х=-5
х-10х²+25х³=0
х(1-10х+25х²)=0
х(1-5х)²=0
х=0
х=1/5
Verified answer
1). x³ - 25x = 0
x(x² - 25) = 0
x(x - 5)(x + 5) = 0
x₁ = 0
x₂ = 5
x₃ = -5
Ответ: {-5; 0; 5}
2). x - 10x² + 25x³ = 0
x(1 - 10x + 25x²) = 0
x(5x - 1)² = 0
x₁ = 0
x₂ = 0,2
Ответ: {0; 0,2}