\(\left|x\right|+x=0\Rightarrow\left|x\right|=-x\Rightarrow x\le0\)

Theo đầu bài ta có:
\(\frac{1}{5}\cdot a+2+\frac{1}{2}\cdot a+7=a\)
\(\Rightarrow2+7=a-\frac{1}{2}\cdot a-\frac{1}{5}\cdot a\)
\(\Rightarrow a\cdot\frac{3}{10}=9\)
\(\Rightarrow a=30\)

\(\frac{1}{5}a+2+\frac{1}{2}a+7=a\left(\frac{1}{5}+\frac{1}{2}\right)+2+7=\frac{7}{10}a+10=\frac{7a}{10}+10\)

\(\int^{x\sqrt{y}+y\sqrt{x}=30}_{x\sqrt{x}+y\sqrt{y}=35}\Leftrightarrow\int^{\sqrt{xy}\left(\sqrt{x}+\sqrt{y}\right)=30}_{\left(\sqrt{x}+\sqrt{y}\right)^3-3\sqrt{xy}\left(\sqrt{x}+\sqrt{y}\right)=35}\)

\(\Leftrightarrow\int^{\sqrt{xy}\left(\sqrt{x}+\sqrt{y}\right)=30}_{\left(\sqrt{x}+\sqrt{y}\right)^3-90=35}\Leftrightarrow\int^{\sqrt{xy}=6}_{\sqrt{x}+\sqrt{y}=5}\)

\(\frac{2}{3}=\frac{2\times18}{3\times18}=\frac{36}{54}\)

\(\Rightarrow x=36\)

~ Chúc bạn học tốt ~

\(\frac{2}{3}=\frac{x}{54}\)

54 gấp 3:

54:3=18(lần)

Vậy x=18x2=36

2/3=36/54

(2,3) 

(-2,-1)

(4,-7)

(8,-3)

(2;3)

(-2;-1)

(4;-7)

(8;-3)

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