Любезные люди, помогите срочно надо решиь по 911-915, обязательно отблагодорю. Заранее спасибо
Любезные люди, помогите срочно надо решиь по 911-915, обязательно отблагодорю. Заранее спасибо
Гость
Ответ(ы) на вопрос:
Гость911. 1) |x-4|=2
[latex] \left \{ {{x-4=2} \atop {x-4=-2}} \right. [/latex]
[latex] \left \{ {{x=6} \atop {x=2}} \right. [/latex]
2) |y+5|=3
[latex] \left \{ {{y+5=3} \atop {y+5=-3}} \right. [/latex]
[latex] \left \{ {{y=-2} \atop {x=-8}} \right. [/latex]
3) |3+x|=1.5
[latex] \left \{ {{3+x=1.5} \atop {3+x=-1.5}} \right. [/latex]
[latex] \left \{ {{x=-1.5} \atop {x=-4.5}} \right. [/latex]
4) |7-y|=-2
y∈∅
5) |x+3|+4=9
|x+3|=9-4
|x+3|=5
[latex] \left \{ {{x+3=5} \atop {x+3=-5}} \right. [/latex]
[latex] \left \{ {{x=2} \atop {x=-8}} \right. [/latex]
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=[latex] \frac{2}{3} [/latex]
4) |4-5x|=0
4-5x=0
x=0.8
5) |3x+1|+2[latex]^{3} [/latex]=0
|3x+1|+8=8
|3x+1|=0
3x+1=0
x=-[latex] \frac{1}{3} [/latex]
6) |9x+2|-[latex]3^{3} [/latex]=(-3)^{3}
|9x+2|-27=-27
|9x+2|=0
9x+2=0
x=-[latex] \frac{2}{9}[/latex]
913. 1) 5|x|+3=7
5|x|=7-3
5|x|=4
|x|=[latex] \frac{4}{5} [/latex]
x=±[latex] \frac{4}{5} [/latex]
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
[latex] \left \{ {{2x+14=6} \atop {2x+14=-6}} \right. [/latex]
[latex] \left \{ {{x=-4} \atop {x-10}} \right. [/latex]
2) |9x-18|=27
[latex] \left \{ {{9x-18=27} \atop {9x-18=-27}} \right. [/latex]
[latex] \left \{ {{x=5} \atop {x=-1}} \right. [/latex]
3) |8x+12|=20
[latex] \left \{ {{8x+12=20} \atop {8x+12=-20}} \right. [/latex]
[latex] \left \{ {{x=1} \atop {x=-4}} \right. [/latex]
4) |15x-10|=5
[latex] \left \{ {{15x-10=5} \atop {15x-10=-5}} \right. [/latex]
[latex] \left \{ {{x=1} \atop {x= \frac{1}{3} }} \right. [/latex]
5) |9x+15|=6
[latex] \left \{ {{9x+15=6} \atop {9x+15=-6}} \right. [/latex]
[latex] \left \{ {{x=-1} \atop {x=- \frac{7}{3} }} \right. [/latex]
6) |8x-6|=14
[latex] \left \{ {{8x-6=14} \atop {8x-6=-14}} \right. [/latex]
[latex] \left \{ {{x=2.5} \atop {x=-1}} \right. [/latex]
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