Question

помогите решить уравнения! 1)/3-0.5х/=6+х 

2) /2х-4/-х=/х-3/+2 (//-модуль)

Answer 1

$|3-0.5x|=6 x \ left { {{3-0.5x=6 x, x<6} atop {0.5x-3=6 x, x>6}} right. \ left { {{-1.5x=3, x<6} atop {-0.5x=9, x>6}} right. \<strong><em><u> left { {{x=-2, x<6} atop {x=-18, x>6}} right. \ x=-2</u></em></strong></var><strong><em><u>$</u></em></strong></p> <p><strong><em><u>Ответ: -2</u></em></strong></p> <p><strong><em><u> </u></em></strong></p> <p><strong><em><u><img src=[/tex]|2x-4|-x=|x-3|+2 \ begin{cases} 4-2x-x=3-x+2, x<2\2x-4-x=3-x+2, 2<x3 end{cases} \ begin{cases} -2x=1, x<2\2x=9, 2<x3 end{cases} \ begin{cases} x=-0.5, x<2\x=4.5, 2<x3 end{cases} \ x=-0.5" title="|3-0.5x|=6+x \ left { {{3-0.5x=6+x, x<6} atop {0.5x-3=6+x, x>6}} right. \ left { {{-1.5x=3, x<6} atop {-0.5x=9, x>6}} right. \ left { {{x=-2, x<6} atop {x=-18, x>6}} right. \ x=-2" title="|2x-4|-x=|x-3|+2 \ begin{cases} 4-2x-x=3-x+2, x<2\2x-4-x=3-x+2, 2<x3 end{cases} \ begin{cases} -2x=1, x<2\2x=9, 2<x3 end{cases} \ begin{cases} x=-0.5, x<2\x=4.5, 2<x3 end{cases} \ x=-0.5" title="|3-0.5x|=6+x \ left { {{3-0.5x=6+x, x<6} atop {0.5x-3=6+x, x>6}} right. \ left { {{-1.5x=3, x<6} atop {-0.5x=9, x>6}} right. \ left { {{x=-2, x<6} atop {x=-18, x>6}} right. \ x=-2" alt="|2x-4|-x=|x-3|+2 \ begin{cases} 4-2x-x=3-x+2, x<2\2x-4-x=3-x+2, 2<x3 end{cases} \ begin{cases} -2x=1, x<2\2x=9, 2<x3 end{cases} \ begin{cases} x=-0.5, x<2\x=4.5, 2<x3 end{cases} \ x=-0.5" title="|3-0.5x|=6+x \ left { {{3-0.5x=6+x, x<6} atop {0.5x-3=6+x, x>6}} right. \ left { {{-1.5x=3, x<6} atop {-0.5x=9, x>6}} right. \ left { {{x=-2, x<6} atop {x=-18, x>6}} right. \ x=-2" />

Ответ: -2

 

$|3-0.5x|=6+x \ left { {{3-0.5x=6+x, x<6} atop {0.5x-3=6+x, x>6}} right. \ left { {{-1.5x=3, x<6} atop {-0.5x=9, x>6}} right. \<strong><em><u> left { {{x=-2, x<6} atop {x=-18, x>6}} right. \ x=-2</u></em></strong></var><strong><em><u>$

Ответ: -2

 

[tex]|2x-4|-x=|x-3|+2 \ begin{cases} 4-2x-x=3-x+2, x<2\2x-4-x=3-x+2, 2<x3 end{cases} \ begin{cases} -2x=1, x<2\2x=9, 2<x3 end{cases} \ begin{cases} x=-0.5, x<2\x=4.5, 2<x3 end{cases} \ x=-0.5" />

Ответ: -0,5