Все на фото( решал теор. виет., дискр., и выносил за скобк.)
<span>8,4х+3-5(7,2х+0,3) = 8,4х+3 -36х -1,5= -27,6х +1,5</span>
<span>при х = 2/3</span>
<span>-27,6 х 2/3 +1,5 = -27 6/10 х 2/3 + 1 5/10= - 27 3/5 х 2/3 +1 1/2= -138/5 х 2/3 +3/2= -92/5 +3/2 = (-184 +15)/10 = -169/10= -16,9</span>
<span>(х-3)^2 > x(x-6)</span>
<span>x^2 - 6x + 9 > x^2 - 6x</span>
<span>x^2 - 6x + 9 - x^2 + 6x > 0</span>
<span>9 > 0</span>
<span>а)
![\left \{ {{2x-3\ \textgreater \ 0} \atop {7x+4\ \textgreater \ 0}} \right. \\ \\ \left \{ {{2x\ \textgreater \ 3} \atop {7x\ \textgreater \ -4}} \right. \\ \\ \left \{ {{x\ \textgreater \ 1.5} \atop {x\ \textgreater \ - \frac{4}{7} }} \right.](https://tex.z-dn.net/?f=+%5Cleft+%5C%7B+%7B%7B2x-3%5C+%5Ctextgreater+%5C+0%7D+%5Catop+%7B7x%2B4%5C+%5Ctextgreater+%5C+0%7D%7D+%5Cright.++%5C%5C++%5C%5C++%5Cleft+%5C%7B+%7B%7B2x%5C+%5Ctextgreater+%5C+3%7D+%5Catop+%7B7x%5C+%5Ctextgreater+%5C+-4%7D%7D+%5Cright.+%5C%5C++%5C%5C++%5Cleft+%5C%7B+%7B%7Bx%5C+%5Ctextgreater+%5C+1.5%7D+%5Catop+%7Bx%5C+%5Ctextgreater+%5C+-+%5Cfrac%7B4%7D%7B7%7D+%7D%7D+%5Cright.+)
x∈(1.5; +∞)
б)
![\left \{ {{3-2x\ \textless \ 0} \atop {1.6+x\ \textless \ 0}} \right. \\ \\ \left \{ {{2x\ \textgreater \ 3} \atop {x\ \textless \ -1.6}} \right. \\ \\ \left \{ {{x\ \textgreater \ 1.5} \atop {x\ \textless \ -1.6}} \right.](https://tex.z-dn.net/?f=+%5Cleft+%5C%7B+%7B%7B3-2x%5C+%5Ctextless+%5C+0%7D+%5Catop+%7B1.6%2Bx%5C+%5Ctextless+%5C+0%7D%7D+%5Cright.++%5C%5C++%5C%5C++%5Cleft+%5C%7B+%7B%7B2x%5C+%5Ctextgreater+%5C+3%7D+%5Catop+%7Bx%5C+%5Ctextless+%5C+-1.6%7D%7D+%5Cright.+++%5C%5C++%5C%5C++%5Cleft+%5C%7B+%7B%7Bx%5C+%5Ctextgreater+%5C+1.5%7D+%5Catop+%7Bx%5C+%5Ctextless+%5C+-1.6%7D%7D+%5Cright.++)
x=∅ у системы неравенств нет решений
![\left \{ {{6-2x\ \textless \ 3(x-1)} \atop {6-2.1x\ \textgreater \ x}} \right. \\ \\ \left \{ {{6-2x\ \textless \ 3x-3)} \atop {6\ \textgreater \ 3.1x}} \right. \\ \\ \left \{ {{5x\ \textgreater \ 3)} \atop {3.1x\ \textless \ 6}} \right. \\ \\ \left \{ {{x\ \textgreater \ 0.6} \atop {x\ \textless \ \frac{60}{31} }} \right.](https://tex.z-dn.net/?f=+%5Cleft+%5C%7B+%7B%7B6-2x%5C+%5Ctextless+%5C+3%28x-1%29%7D+%5Catop+%7B6-2.1x%5C+%5Ctextgreater+%5C+x%7D%7D+%5Cright.++%5C%5C++%5C%5C++%5Cleft+%5C%7B+%7B%7B6-2x%5C+%5Ctextless+%5C+3x-3%29%7D+%5Catop+%7B6%5C+%5Ctextgreater+%5C+3.1x%7D%7D+%5Cright.++%5C%5C++%5C%5C++%5Cleft+%5C%7B+%7B%7B5x%5C+%5Ctextgreater+%5C+3%29%7D+%5Catop+%7B3.1x%5C+%5Ctextless+%5C+6%7D%7D+%5Cright.+%5C%5C++%5C%5C++%5Cleft+%5C%7B+%7B%7Bx%5C+%5Ctextgreater+%5C+0.6%7D+%5Catop+%7Bx%5C+%5Ctextless+%5C++%5Cfrac%7B60%7D%7B31%7D+%7D%7D+%5Cright.)
x= 1
Ответ только одно значение 1 </span>
(x²-4x)/(x²-16)=x(x-4)/(x+4)(x-4)=x/(x+4)
x=6 : 6/(6+4)=6/10=3/5=0,6
Otvet: 0,6