|x-5丨-丨3x一7丨=|

|x-5丨-丨3x一7丨=|绝对值的方程,急求,谢谢
2024-12-28 09:24:39
推荐回答(2个)
回答1:


看懂不懂,满意的话望采纳

回答2:

丨x-5丨+2x=-5 |x-5|2=(-(2x+5))2 x2-10x+25=4x2+20x+25 3x2+30x=0 3x(x+10)=0 x1=0 x2=-10 丨x-丨3x+1丨丨=4 x-|3x+1|=±4 (x±4)2=|3x+1|2 x2±8x+16=9x2+6x+1 8x2+(6±8)x-15=0 8x2+14x-15=0 (2x+5)(4x-3)=0 x1=-5/2 x2=3/4 或者8x2-2x-15=0 (2x-3)(4x+5)=0 x3=3/2 x4=-5/4 丨x+3丨-丨x-1丨=x+1 (1) x<-3时 -(x+3)-(1-x)=x+1 -4=x+1 x=-5 (2) -3==1时 x+3-(x-1)=x+1 2=x+1 x=1 丨x+1丨+丨x-3丨=4 (1) x<=-1时 -(x+1)+3-x=4 -2x+2=4 -2x=2 x=-1 (2) -1=3时 x+1+x-3=4 2x-2=4 2x=6 x=3