若化简|1-x|-√(x^2-8x+16)的结果为2x-5则x的取值范围是()A,x为任意实数 B,1≤x≤4 C,x≥1 D,x≤4请详细讲解 急

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若化简|1-x|-√(x^2-8x+16)的结果为2x-5则x的取值范围是()A,x为任意实数B,1≤x≤4C,x≥1D,x≤4请详细讲解急若化简|1-x|-√(x^2-8x+16)的结果为2x-5则

若化简|1-x|-√(x^2-8x+16)的结果为2x-5则x的取值范围是()A,x为任意实数 B,1≤x≤4 C,x≥1 D,x≤4请详细讲解 急
若化简|1-x|-√(x^2-8x+16)的结果为2x-5则x的取值范围是()A,x为任意实数 B,1≤x≤4 C,x≥1 D,x≤4
请详细讲解 急

若化简|1-x|-√(x^2-8x+16)的结果为2x-5则x的取值范围是()A,x为任意实数 B,1≤x≤4 C,x≥1 D,x≤4请详细讲解 急
解|1-x|-√(x^2-8x+16)
=|1-x|-√(x-4)²
=(x-1)-[-(x-4)]=2x-5
即1-x≤0且x-4≤0
即1≤x≤4
即选B

原式=|1-x|-|x-4|=2x-5
显然有|1-x|=x-1,|x-4|=4-x
则有x-1>=0,4-x>=0
即有1<=x<=4
选择B

B,1≤x≤4
选B

简化│X│ - 根X * 2-8X 16的查询结果2X-5
│1-X│ - √(X * 2-8X 16) - (2X-1-X)= 0
││ - √(X-4)^ 2 - (2X-5)= 0
当x> = 4时
│1-X│ - √(X-4)^ 2 - (2X-5)= X-1-+4-2×5 = 2×8 = 0
x = 4时
时,1 =

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简化│X│ - 根X * 2-8X 16的查询结果2X-5
│1-X│ - √(X * 2-8X 16) - (2X-1-X)= 0
││ - √(X-4)^ 2 - (2X-5)= 0
当x> = 4时
│1-X│ - √(X-4)^ 2 - (2X-5)= X-1-+4-2×5 = 2×8 = 0
x = 4时
时,1 = │ 1-x│ - √(X-4)^ 2 - (2X-5)= 1 + X-4-2×5 = 0
说明1 = | 1-X│ - √(X-4)^ 2 - (2×5)= 1-X +-4-2×5 = 2×2 = 0 BR /> X = 1
指示当x <1时,无解。总结:
如果简| 1-X│ - 根所述* 2-8X +16 2X-5,则X的取值范围1 <= x <= 4

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