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bạn họ cái này chưa?
/a+b/=</a/+/b/
Vì /y-2/=/2-y/( cái này thực ra là không cần đâu nhưng mk diễn giải ra cho bn dễ hiểu)
A=/x+1/+/y-2/=/x+1/+/2-y/>=/x-y+1+2/=/3+3/=6
Dấu '=' xảy ra khi (x+1)(2-y)>=0 (1)
x-y=3 => x=3+y
=> (1) <=> (y+4)(2-y)>=0
=> -4=<y=<2
y=x-3 =>(1)<=>(x+1)(5-x)>=0
=>-1=<x=<5
đây là ời giải cr mk
1 cho A(x)=0
\(\Leftrightarrow2\left(-x+5\right)-\frac{3}{2}\left(x-4\right)=0\)\(0\)
\(\Leftrightarrow-2x+10-\frac{3}{2}x+4\)\(=0\)
\(\Leftrightarrow\left(-2x-\frac{3}{2}x\right)+\left(10+4\right)\)\(=0\)
\(\Leftrightarrow\frac{-7}{2}x+14\)\(=0\)
\(\Leftrightarrow\frac{-7}{2}x=-14\)
\(\Leftrightarrow x=4\)
Vậy...
2 .Cho B(x)=0
\(\Leftrightarrow-4x^2+9\)\(=0\)
\(\Leftrightarrow-4x^2=-9\)
\(\Leftrightarrow x^2=\frac{9}{4}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{3}{2}\\x=\frac{-3}{2}\end{cases}}\)
Vậy...
3. Cho C(x)=0
\(\Leftrightarrow x^3-4x=0\)
\(\Leftrightarrow x\left(x^2-4\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\x^2-4=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\x^2=4\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\x=\pm2\end{cases}}\)
Vậy...
k cho mk nha
1.\(\frac{2\left(-x+5\right)-3}{2\left(X-4\right)}=0\) (đkxđ x khác 4)
\(\Rightarrow2\left(-x+5\right)-3=0\)
\(\Rightarrow-2x+10-3=0\)
\(\Rightarrow-2x=-7\)
\(\Rightarrow x=\frac{7}{2}\)
2. \(-4x^2+9=0\)
\(\Rightarrow4x^2-9=0\)
\(\Rightarrow4x^2=9\)
\(\Rightarrow x^2=\frac{9}{4}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{3}{2}\\x=-\frac{3}{2}\end{cases}}\)
3. \(x^3+4x=0\)
\(\Rightarrow x\left(x^2+4\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x^2+4=0\end{cases}}\)mà x^2+4 >0
\(\Rightarrow x=0\)
\(p=\frac{1}{3}x^2y+xy^2-xy+\frac{1}{2}xy^2-5xy-\frac{1}{3}x^2y\)
\(p=\left(\frac{1}{3}x^2y-\frac{1}{3}x^2y\right)+\left(xy^2+\frac{1}{2}xy^2\right)-\left(xy-5xy\right)\)
\(p=\frac{3}{2}xy^2-6xy\)
thay x = 0,5 và y = 1 vào P
\(\Rightarrow\)\(=\frac{3}{2}.0,5.1^2-6.0,5.1\)
\(=\frac{3}{2}.0,5-6.0,5\)
\(=\left(\frac{3}{2}-6\right).0,5\)
\(=\frac{-9}{2}.0,5\)
\(=\frac{-9}{4}\)
~hok tốt ~
\(\frac{x+1}{2}+\frac{x+1}{3}+\frac{x+1}{4}=\frac{x+1}{5}+\frac{x+1}{6}\)
\(\Rightarrow\frac{x+1}{2}+\frac{x+1}{3}+\frac{x+1}{4}-\frac{x+1}{5}-\frac{x+1}{6}=0\)
\(\left(x+1\right).\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}-\frac{1}{5}-\frac{1}{6}\right)=0\)
mà \(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}-\frac{1}{5}-\frac{1}{6}\ne0\)
=> x + 1 = 0
x = - 1
\(\frac{x}{2}=\frac{y}{3}\Rightarrow\frac{x^2}{2^2}=\frac{y^2}{3^2}=\frac{x^2+y^2}{4+9}=\frac{52}{13}=4\)
\(\Rightarrow\hept{\begin{cases}\frac{x^2}{2^2}=4\Rightarrow x^2=16=\left(\pm4\right)^2\\\frac{y^2}{3^2}=4\Rightarrow y^2=36=\left(\pm6\right)\end{cases}}\)
Còn lại bạn tự làm
Gọi \(\frac{x}{2}=\frac{y}{3}=\frac{z}{-5}=k\Rightarrow\hept{\begin{cases}x=2k\\y=3k\\z=-5k\end{cases}}\left(1\right)\)
Thay (1) vào biểu thức \(x^2+y^2=52\)ta được :
\(\left(2k\right)^2+\left(3k\right)^2=52\)
\(\Leftrightarrow4k^2+9k^2=52\)
\(\Leftrightarrow13k^2=52\)
\(\Leftrightarrow k^2=4\)
\(\Leftrightarrow k=\pm2\)
Thay từng TH vào làm nốt đi
\(\left(x-\frac{2}{9}\right)^3=\left(\frac{2}{3}\right)^6=\left(\frac{y}{3}\right)^2\)
\(\Rightarrow\left(\frac{9x-2}{9}\right)^3=\left(\frac{4}{9}\right)^3=\left(\frac{y}{3}\right)^2\)
\(\Rightarrow9x-2=4\)
\(\Rightarrow x=\frac{6}{9}=\frac{2}{3}\)
Xét \(\left(x-\frac{2}{9}\right)^3=\left(\frac{y}{3}\right)^2\)
\(\Rightarrow\frac{4^3}{9^3}=\frac{y^2}{9}\)
\(\Rightarrow4^3=y^2.9^2\)
\(\Rightarrow y^2=\frac{64}{81}\Rightarrow y=\frac{8}{9}\)
\(\left(x-\frac{2}{9}\right)^3=\left(\frac{2}{3}\right)^6\)
\(\Rightarrow\left(x-\frac{2}{9}\right)^3=\left[\left(\frac{2}{3}\right)^2\right]^3\)
\(\Rightarrow x-\frac{2}{9}=\frac{4}{9}\)
\(\Rightarrow x=\frac{4}{9}+\frac{2}{9}\)
\(\Rightarrow x=\frac{6}{9}=\frac{2}{3}\)
\(\left(\frac{y}{3}\right)^2=\left(\frac{2}{3}\right)^6\)
\(\Rightarrow\left(\frac{y}{3}\right)^2=\left[\left(\frac{2}{3}\right)^3\right]^2\)
\(\Rightarrow\frac{y}{3}=\frac{8}{27}\)
\(\Rightarrow y=\frac{8.3}{27}\)
\(\Rightarrow y=\frac{8}{9}\)
Vậy \(x=\frac{2}{3};y=\frac{8}{9}\)