Предмет: Математика,
автор: МальчикЧеловек1
Любезные люди, помогите срочно надо решиь по 911-915, обязательно отблагодорю. Заранее спасибо
Приложения:
![](https://files.topotvet.com/i/4dc/4dcb229eec3433d7d1ddaff4f2096281.jpg)
Ответы
Автор ответа:
0
911. 1) |x-4|=2
![left { {{x-4=2} atop {x-4=-2}} right. left { {{x-4=2} atop {x-4=-2}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7Bx-4%3D2%7D+atop+%7Bx-4%3D-2%7D%7D+right.+)
![left { {{x=6} atop {x=2}} right. left { {{x=6} atop {x=2}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7Bx%3D6%7D+atop+%7Bx%3D2%7D%7D+right.+)
2) |y+5|=3
![left { {{y+5=3} atop {y+5=-3}} right. left { {{y+5=3} atop {y+5=-3}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7By%2B5%3D3%7D+atop+%7By%2B5%3D-3%7D%7D+right.+)
![left { {{y=-2} atop {x=-8}} right. left { {{y=-2} atop {x=-8}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7By%3D-2%7D+atop+%7Bx%3D-8%7D%7D+right.+)
3) |3+x|=1.5
![left { {{3+x=1.5} atop {3+x=-1.5}} right. left { {{3+x=1.5} atop {3+x=-1.5}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7B3%2Bx%3D1.5%7D+atop+%7B3%2Bx%3D-1.5%7D%7D+right.+)
![left { {{x=-1.5} atop {x=-4.5}} right. left { {{x=-1.5} atop {x=-4.5}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7Bx%3D-1.5%7D+atop+%7Bx%3D-4.5%7D%7D+right.+)
4) |7-y|=-2
y∈∅
5) |x+3|+4=9
|x+3|=9-4
|x+3|=5
![left { {{x+3=5} atop {x+3=-5}} right. left { {{x+3=5} atop {x+3=-5}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7Bx%2B3%3D5%7D+atop+%7Bx%2B3%3D-5%7D%7D+right.+)
![left { {{x=2} atop {x=-8}} right. left { {{x=2} atop {x=-8}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7Bx%3D2%7D+atop+%7Bx%3D-8%7D%7D+right.+)
6) |y-2|+8=5
|y-2|=5-8
|y-2|=-3
y∈∅
912. 1) |2x-5|=0
2x-5=0
x=2.5
2) |4x-3|=0
4x-3=0
x=0.75
3) |2-3x|=0
2-3x=0
x=![frac{2}{3} frac{2}{3}](https://tex.z-dn.net/?f=+frac%7B2%7D%7B3%7D+)
4) |4-5x|=0
4-5x=0
x=0.8
5) |3x+1|+2
=0
|3x+1|+8=8
|3x+1|=0
3x+1=0
x=-![frac{1}{3} frac{1}{3}](https://tex.z-dn.net/?f=+frac%7B1%7D%7B3%7D+)
6) |9x+2|-
=(-3)^{3}
|9x+2|-27=-27
|9x+2|=0
9x+2=0
x=-![frac{2}{9} frac{2}{9}](https://tex.z-dn.net/?f=+frac%7B2%7D%7B9%7D)
913. 1) 5|x|+3=7
5|x|=7-3
5|x|=4
|x|=![frac{4}{5} frac{4}{5}](https://tex.z-dn.net/?f=+frac%7B4%7D%7B5%7D+)
x=±![frac{4}{5} frac{4}{5}](https://tex.z-dn.net/?f=+frac%7B4%7D%7B5%7D+)
2) 1.7|x|+4.9=10
1.7|x|=10-4.9
1.7|x|=5.1
1.7x=5.1, x⩾0
1.7(-x)=5.1, x<0
x=±3
3) 2.5|3y|=15
2.5*3y=15, 3y⩾0
2.5(-3)y=15, 3y<0
y=±2
914. 1) |2x+14|=6
![left { {{2x+14=6} atop {2x+14=-6}} right. left { {{2x+14=6} atop {2x+14=-6}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7B2x%2B14%3D6%7D+atop+%7B2x%2B14%3D-6%7D%7D+right.+)
![left { {{x=-4} atop {x-10}} right. left { {{x=-4} atop {x-10}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7Bx%3D-4%7D+atop+%7Bx-10%7D%7D+right.+)
2) |9x-18|=27
![left { {{9x-18=27} atop {9x-18=-27}} right. left { {{9x-18=27} atop {9x-18=-27}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7B9x-18%3D27%7D+atop+%7B9x-18%3D-27%7D%7D+right.+)
![left { {{x=5} atop {x=-1}} right. left { {{x=5} atop {x=-1}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7Bx%3D5%7D+atop+%7Bx%3D-1%7D%7D+right.+)
3) |8x+12|=20
![left { {{8x+12=20} atop {8x+12=-20}} right. left { {{8x+12=20} atop {8x+12=-20}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7B8x%2B12%3D20%7D+atop+%7B8x%2B12%3D-20%7D%7D+right.+)
![left { {{x=1} atop {x=-4}} right. left { {{x=1} atop {x=-4}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7Bx%3D1%7D+atop+%7Bx%3D-4%7D%7D+right.+)
4) |15x-10|=5
![left { {{15x-10=5} atop {15x-10=-5}} right. left { {{15x-10=5} atop {15x-10=-5}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7B15x-10%3D5%7D+atop+%7B15x-10%3D-5%7D%7D+right.+)
![left { {{x=1} atop {x= frac{1}{3} }} right. left { {{x=1} atop {x= frac{1}{3} }} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7Bx%3D1%7D+atop+%7Bx%3D+frac%7B1%7D%7B3%7D+%7D%7D+right.+)
5) |9x+15|=6
![left { {{9x+15=6} atop {9x+15=-6}} right. left { {{9x+15=6} atop {9x+15=-6}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7B9x%2B15%3D6%7D+atop+%7B9x%2B15%3D-6%7D%7D+right.+)
![left { {{x=-1} atop {x=- frac{7}{3} }} right. left { {{x=-1} atop {x=- frac{7}{3} }} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7Bx%3D-1%7D+atop+%7Bx%3D-+frac%7B7%7D%7B3%7D+%7D%7D+right.+)
6) |8x-6|=14
![left { {{8x-6=14} atop {8x-6=-14}} right. left { {{8x-6=14} atop {8x-6=-14}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7B8x-6%3D14%7D+atop+%7B8x-6%3D-14%7D%7D+right.+)
![left { {{x=2.5} atop {x=-1}} right. left { {{x=2.5} atop {x=-1}} right.](https://tex.z-dn.net/?f=+left+%7B+%7B%7Bx%3D2.5%7D+atop+%7Bx%3D-1%7D%7D+right.+)
2) |y+5|=3
3) |3+x|=1.5
4) |7-y|=-2
y∈∅
5) |x+3|+4=9
|x+3|=9-4
|x+3|=5
6) |y-2|+8=5
|y-2|=5-8
|y-2|=-3
y∈∅
912. 1) |2x-5|=0
2x-5=0
x=2.5
2) |4x-3|=0
4x-3=0
x=0.75
3) |2-3x|=0
2-3x=0
x=
4) |4-5x|=0
4-5x=0
x=0.8
5) |3x+1|+2
|3x+1|+8=8
|3x+1|=0
3x+1=0
x=-
6) |9x+2|-
|9x+2|-27=-27
|9x+2|=0
9x+2=0
x=-
913. 1) 5|x|+3=7
5|x|=7-3
5|x|=4
|x|=
x=±
2) 1.7|x|+4.9=10
1.7|x|=10-4.9
1.7|x|=5.1
1.7x=5.1, x⩾0
1.7(-x)=5.1, x<0
x=±3
3) 2.5|3y|=15
2.5*3y=15, 3y⩾0
2.5(-3)y=15, 3y<0
y=±2
914. 1) |2x+14|=6
2) |9x-18|=27
3) |8x+12|=20
4) |15x-10|=5
5) |9x+15|=6
6) |8x-6|=14
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