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DiMaSiK785
@DiMaSiK785
July 2022
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решите уравнения
1)5x^3-5x=0
2)64x^3-16x^2+x=0
x^3-3x^2-4x+12=0
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m11m
Verified answer
1) 5x³-5x=0
5x(x² -1)=0
5x=0 x²-1=0
x=0 x²=1
x₁=1
x₂= -1
Ответ: -1; 0; 1.
2) 64x³-16x²+x=0
x(64x² -16x+1)=0
x(8x-1)²=0
x=0 (8x-1)²=0
8x-1=0
8x=1
x=1/8=0.125
Ответ: 0; 0.125.
3) x³-3x²-4x+12=0
(x³-3x²)-(4x-12)=0
x²(x-3)-4(x-3)=0
(x-3)(x²-4)=0
x-3=0 x²-4=0
x=3 x²=4
x₁=2
x₂= -2
Ответ: -2; 2; 3.
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Answers & Comments
Verified answer
1) 5x³-5x=05x(x² -1)=0
5x=0 x²-1=0
x=0 x²=1
x₁=1
x₂= -1
Ответ: -1; 0; 1.
2) 64x³-16x²+x=0
x(64x² -16x+1)=0
x(8x-1)²=0
x=0 (8x-1)²=0
8x-1=0
8x=1
x=1/8=0.125
Ответ: 0; 0.125.
3) x³-3x²-4x+12=0
(x³-3x²)-(4x-12)=0
x²(x-3)-4(x-3)=0
(x-3)(x²-4)=0
x-3=0 x²-4=0
x=3 x²=4
x₁=2
x₂= -2
Ответ: -2; 2; 3.