已知1小于等于x小于等于3,化简根号x的平方剪2x加1加根号x的平方减6x加9

2025-04-18 14:06:27
推荐回答(1个)
回答(1):

√(x²-2x+1)+√(x²-6x+9)
=√(x-1)²+√(x-3)²
=|x-1|+|x-3|
x≥1 x-1≥0 |x-1|=x-1
x≤3 x-3≤0 |x-3|=3-x
√(x²-2x+1)+√(x²-6x+9)
=|x-1|+|x-3|
=x-1+3-x
=2