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\(x-2xy+y=0\)
\(\Rightarrow x-\left(2xy-y\right)=0\)
\(\Rightarrow x-y\left(2x-1\right)=0\)
\(\Rightarrow2x-2y\left(2x-1\right)=0\)
\(\Rightarrow\left(2x-1\right)-2y\left(2x-1\right)=-1\)
\(\Rightarrow\left(2x-1\right)\left(1-2y\right)=-1\)
\(\Rightarrow\left(2x-1;1-2y\right)=\left(-1;1\right);\left(1;-1\right)\)
\(\Rightarrow\left(x;y\right)=\left(0;0\right);\left(1;1\right)\)
giaỉ:
\(\frac{2x}{3}\)= \(\frac{3y}{4}\)=\(\frac{4z}{5}\)
\(\Rightarrow\)\(\frac{12x}{18}\)= \(\frac{12y}{16}\)=\(\frac{12z}{15}\)
áp dụng tính chất của dảy tỉ số bằng nhau ta có:
\(\frac{12x}{18}\)=\(\frac{12y}{16}\)= \(\frac{12z}{15}\) = 12x + 12y + \(\frac{12z}{18+16+15}\)= \(\frac{12\left(x+y+z\right)}{49}\)=\(\frac{12.49}{49}\)=12
\(\Rightarrow\)\(\frac{12x}{18}\)=12 \(\Rightarrow\)12x = 216 vậy x = 18
\(\frac{12y}{16}\)=12 \(\Rightarrow\)12y = 192 vậy y = 16
\(\frac{12z}{15}\)= 12 \(\Rightarrow\)12z = 180 vậy z= 15
vậy x = 18 ; y = 16 và z = 15
**** cho mình nha !!!
Lời giải:
a)
$\widehat{xOy}+\widehat{yOz}=150^0$
$\widehat{xOy}-\widehat{yOz}=90^0$
$\Rightarrow \widehat{xOy}=(150^0+90^0):2=120^0$
$\widehat{yOz}=(150^0-90^0):2=30^0$
b.
$\widehat{xOz}=\widehat{xOy}+\widehat{yOz}=150^0$
$\widehat{yOz'}=180^0-\widehat{yOz}=180^0-30^0=150^0$
Do đó $\widehat{xOz}=\widehat{yOz'}$
\(\Delta ABC=\Delta DEF\Rightarrow\widehat{A}=\widehat{D};\widehat{B}=\widehat{E};\widehat{C}=\widehat{F}\\\)
\(\widehat{A}=3\widehat{E}\Rightarrow\widehat{A}=3\widehat{B}\)
\(\widehat{B}=2\widehat{F}\Rightarrow\widehat{B}=2\widehat{C}\)
\(\Rightarrow\widehat{A}=3\widehat{B}=6\widehat{C}\Rightarrow\widehat{\frac{A}{6}}=\widehat{\frac{B}{2}}=\widehat{\frac{C}{1}}\)
\(\text{Áp dụng định lý Đirichlet:}\)
\(\widehat{\frac{A}{6}}=\widehat{\frac{B}{2}}=\widehat{\frac{C}{1}}=\widehat{\frac{A}{6}}+\widehat{\frac{B}{2}}+\widehat{\frac{C}{1}}=\frac{180^o}{20}=20^0\)
\(\widehat{A}=20^o.6=120^o\)
\(=10x^2-15x^2-5x\)
\(=5x.2x^2-5x.3x-5x.1\\ =10x^3-15x^2-5x\)