已知丨6-3m丨+(n-5)눀=3m-6-√[(m-3)n눀],则m-n=

实数a,b在数轴上的位置如图所示,化简丨a-b丨-√a눀的结果是
2025-03-04 04:19:42
推荐回答(2个)
回答1:

(1)

(m-3)n²≥0得
m≥3
于是
3m-6+(n-5)²=3m-6-√[(m-3)n²]
(n-5)²=-√[(m-3)n²]
(n-5)²+√[(m-3)n²]=0

n-5=0 (m-3)n²=0
n=5 m=3
所以
m-n=-2

(2)
如图可知a-b>0 a>0
于是
丨a-b丨-√a²
=a-b-a
=-b

回答2:

(x-1)(x²+x-1)-3=x(x+1)(x-1)-x²
(x-1)(x²+x-1)-3-x(x+1)(x-1)+x²=0
(x-1)(x²+x-1-x²-x)+x²-3=0
(x-1)(-1)+x²-3=0
-x+1+x²-3=0
x²-x-2=0
(x+1)(x-2)=0
解得x=-1或x=2