x-10/2-x>0 ; 2/3 * x^2 - 3x = 0 - Все ответы

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Отметим ОДЗ.

$\left \{ {{2-x\neq0} \atop {x\neq2}} \right$

0" alt="\frac{x-10}{2-x}>0" align="absmiddle" class="latex-formula"> /· $(2-x)^{2}$

0" alt="(x-10)(2-x)>0" align="absmiddle" class="latex-formula">

0" alt="x-10>0" align="absmiddle" class="latex-formula">

10" alt="x>10" align="absmiddle" class="latex-formula">

0" alt="2-x>0" align="absmiddle" class="latex-formula">

$x<2$

x∈(-∞,2) и (10,∞)

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$\frac{2}{3}x^{2}-3x=0$

$x(\frac{2}{3}x-3)=0$

$x_{1}=0$

$\frac{2}{3}x=3$

$x_{2}=3:\frac{2}{3}=3\cdot\frac{3}{2}=\frac{9}{2}=4,5$