(6)已知,√(3-x)²=x-3,√(x-5)²=5-x,化简:√25-10x+x² + √x²-6x+9

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(6)已知,√(3-x)²=x-3,√(x-5)²=5-x,化简:√25-10x+x² + √x²-6x+9
(6)已知,√(3-x)²=x-3,√(x-5)²=5-x,化简:√25-10x+x² + √x²-6x+9

(6)已知,√(3-x)²=x-3,√(x-5)²=5-x,化简:√25-10x+x² + √x²-6x+9
∵√(3-x)²=x-3
∴x-3≥0,x≥3
∵√(x-5)²=5-x
∴5-x≥0,x≤5
∴3≤x≤5
√(25-10x+x²)+√(x²-6x+9)
=√(5-x)²+√(x-3)²
=|5-x|+|x-3|
=5-x+x-3
=2