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X^5+4x^4-8x^3-14x^2+7x+10=0

发布时间:2017-11-21 15:15:15

X^5+4x^4-8x^3-14x^2+7x+10=0

求解 X^5+4x^4-8x^3-14x^2+7x+10=0 方程:


 

简化
X5 + 4x4 + -8x3 + -14x2 + 7x + 10 = 0

重新排序条件:
10 + X5 + 7x + -14x2 + -8x3 + 4x4 = 0

解:
10 + X5 + 7x + -14x2 + -8x3 + 4x4 = 0

求解变量 'X'.

移动所有条件 X 到左边,所有其他条件放右边.

添加 '-10' 到等式的每一边.
10 + X5 + 7x + -14x2 + -8x3 + -10 + 4x4 = 0 + -10

重新排序条件:
10 + -10 + X5 + 7x + -14x2 + -8x3 + 4x4 = 0 + -10

组合类似条件: 10 + -10 = 0
0 + X5 + 7x + -14x2 + -8x3 + 4x4 = 0 + -10
X5 + 7x + -14x2 + -8x3 + 4x4 = 0 + -10

组合类似条件: 0 + -10 = -10
X5 + 7x + -14x2 + -8x3 + 4x4 = -10

添加 '-7x' 到等式的每一边.
X5 + 7x + -14x2 + -8x3 + -7x + 4x4 = -10 + -7x

重新排序条件:
X5 + 7x + -7x + -14x2 + -8x3 + 4x4 = -10 + -7x

组合类似条件: 7x + -7x = 0
X5 + 0 + -14x2 + -8x3 + 4x4 = -10 + -7x
X5 + -14x2 + -8x3 + 4x4 = -10 + -7x

添加 '14x2' 到等式的每一边.
X5 + -14x2 + -8x3 + 14x2 + 4x4 = -10 + -7x + 14x2

重新排序条件:
X5 + -14x2 + 14x2 + -8x3 + 4x4 = -10 + -7x + 14x2

组合类似条件: -14x2 + 14x2 = 0
X5 + 0 + -8x3 + 4x4 = -10 + -7x + 14x2
X5 + -8x3 + 4x4 = -10 + -7x + 14x2

添加 '8x3' 到等式的每一边.
X5 + -8x3 + 8x3 + 4x4 = -10 + -7x + 14x2 + 8x3

组合类似条件: -8x3 + 8x3 = 0
X5 + 0 + 4x4 = -10 + -7x + 14x2 + 8x3
X5 + 4x4 = -10 + -7x + 14x2 + 8x3

添加 '-4x4' 到等式的每一边.
X5 + 4x4 + -4x4 = -10 + -7x + 14x2 + 8x3 + -4x4

组合类似条件: 4x4 + -4x4 = 0
X5 + 0 = -10 + -7x + 14x2 + 8x3 + -4x4
X5 = -10 + -7x + 14x2 + 8x3 + -4x4

简化
X5 = -10 + -7x + 14x2 + 8x3 + -4x4

重新排序条件:
10 + X5 + 7x + -14x2 + -8x3 + 4x4 = -10 + -7x + 14x2 + 8x3 + -4x4 + 10 + 7x + -14x2 + -8x3 + 4x4

重新排序条件:
10 + X5 + 7x + -14x2 + -8x3 + 4x4 = -10 + 10 + -7x + 7x + 14x2 + -14x2 + 8x3 + -8x3 + -4x4 + 4x4

组合类似条件: -10 + 10 = 0
10 + X5 + 7x + -14x2 + -8x3 + 4x4 = 0 + -7x + 7x + 14x2 + -14x2 + 8x3 + -8x3 + -4x4 + 4x4
10 + X5 + 7x + -14x2 + -8x3 + 4x4 = -7x + 7x + 14x2 + -14x2 + 8x3 + -8x3 + -4x4 + 4x4

组合类似条件: -7x + 7x = 0
10 + X5 + 7x + -14x2 + -8x3 + 4x4 = 0 + 14x2 + -14x2 + 8x3 + -8x3 + -4x4 + 4x4
10 + X5 + 7x + -14x2 + -8x3 + 4x4 = 14x2 + -14x2 + 8x3 + -8x3 + -4x4 + 4x4

组合类似条件: 14x2 + -14x2 = 0
10 + X5 + 7x + -14x2 + -8x3 + 4x4 = 0 + 8x3 + -8x3 + -4x4 + 4x4
10 + X5 + 7x + -14x2 + -8x3 + 4x4 = 8x3 + -8x3 + -4x4 + 4x4

组合类似条件: 8x3 + -8x3 = 0
10 + X5 + 7x + -14x2 + -8x3 + 4x4 = 0 + -4x4 + 4x4
10 + X5 + 7x + -14x2 + -8x3 + 4x4 = -4x4 + 4x4

组合类似条件: -4x4 + 4x4 = 0
10 + X5 + 7x + -14x2 + -8x3 + 4x4 = 0

这个方程的解无法确定..
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