Question

ex 4 please 102533 rezv explicit

Answer 1

a) |x+1|=20:4
|x+1|=5
x+1=5=>x=5-1=4
x+1= -5=> x= -5-1= -7

b) 2×|2x-3|=10+8
2×|2x-3|=18
|2x-3|=9
2x-3=9=>2x=12=>x=6
2x-3= -9=>2x= -12=> x= -6

c) |5x+1|= -13/3+6 amplificãm pe 6 cu 3
|5x+1|= -13/3+18/3
|5x+1|=5/3
5x+1=5/3=> 5x=5/3-1 amplificãm pe 1 cu 3 =>5x=5/3-3/3=> 5x= 2/3=> x=2/3×1/5=>x=2/15
5x+1= -5/3=> 5x= -5/3-1 amplificãm pe 1 cu 3=> 5x= -5/3-3/3=> 5x= -8/3=> x= -8/3×1/5=> x= -8/15

d) 3×(2×|3x+1|+6)=14+10
3×(2×|3x+1|+6)=24
2×|3x+1|+6=24:3
2×|3x+1|+6=8
2×|3x+1|=8-6
2×|3x+1|=2
|3x+1|=2:2
|3x+1|=1
3x+1=1=> 3x=0=> x=0
3x+1= -1=> 3x= -2=> x= -2/3