5*y=35
y*1=30
y*5=0
y:3=4
y:1=30
4*y=0
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1.\(5\left(x^2-9y^2-6y-1\right)=5.\left[x^2-\left(9y^2+6y+1\right)\right]=5\left[x^2-\left(3y+1\right)^2\right]=5\left(x+3y+1\right)\left(x-3y-1\right)\)
2.kiểm tra lại đề nha bạn
3.\(4x^2+10x-2x-5=2x\left(2x-1\right)+5\left(2x-1\right)=\left(2x-1\right)\left(2x+5\right)\)
tìm y
a. 2y+1/3-4y=5+y
b/(2y-3)x(5-4y)=0
các bạn giải giúp mình nhé. ai giải nhanh nhất mình tích luôn!
a) \(\left|3x-4\right|+\left|3y+5\right|=0\)
\(\Rightarrow\hept{\begin{cases}3x-4=0\\3y+5=0\end{cases}\Rightarrow\hept{\begin{cases}3x=4\\3y=-5\end{cases}\Rightarrow}}\hept{\begin{cases}x=\frac{4}{3}\\y=\frac{-5}{3}\end{cases}}\)
b) \(\left|x-y\right|+\left|y+\frac{9}{25}\right|=0\)
\(\Rightarrow\hept{\begin{cases}x-y=0\\y+\frac{9}{25}=0\end{cases}\Rightarrow\hept{\begin{cases}x=y\\y=\frac{-9}{25}\end{cases}\Rightarrow}\hept{\begin{cases}x=\frac{-9}{25}\\y=\frac{-9}{25}\end{cases}}}\)
c) \(\left|3-2x\right|+\left|4y+5\right|=0\)
\(\Rightarrow\hept{\begin{cases}3-2x=0\\4y+5=0\end{cases}\Rightarrow\hept{\begin{cases}2x=3\\4y=-5\end{cases}\Rightarrow}\hept{\begin{cases}x=\frac{3}{2}\\y=\frac{-5}{4}\end{cases}}}\)
d) \(\left|5-\frac{3}{4}x\right|+\left|\frac{2}{7}y-3\right|=0\)
\(\Rightarrow\hept{\begin{cases}5-\frac{3}{4}x=0\\\frac{2}{7}y-3=0\end{cases}\Rightarrow\hept{\begin{cases}\frac{3}{4}x=5\\\frac{2}{7}y=3\end{cases}\Rightarrow}}\hept{\begin{cases}x=\frac{20}{3}\\y=\frac{21}{2}\end{cases}}\)
e) \(\left(x-1\right)^2+\left(y+3\right)^2=0\)
\(\Rightarrow\hept{\begin{cases}\left(x-1\right)^2=0\\\left(y+3\right)^2=0\end{cases}\Rightarrow\hept{\begin{cases}x-1=0\\y+3=0\end{cases}\Rightarrow}\hept{\begin{cases}x=1\\y=-3\end{cases}}}\)
\(\left(x+1\right)\left(y-2\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+1=0\\y-2=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-1\\y=2\end{cases}}}\)
Vậy .........
\(\left(x-5\right)\left(y-7\right)=1\)
\(\Rightarrow\left(x-5\right);\left(y-7\right)\inƯ\left(1\right)=\left\{-1;1\right\}\)
Xét các trường hợp
Vậy \(\orbr{\begin{cases}\left(x;y\right)=\left(6;8\right)\\\left(x;y\right)=\left(4;6\right)\end{cases}}\)
Bài 1:
c) \(\dfrac{1}{y}\sqrt{19y}=\sqrt{19y\cdot\dfrac{1}{y^2}}=\sqrt{\dfrac{19}{y}}\)
d) \(\dfrac{1}{3y}\cdot\sqrt{\dfrac{27}{y^2}}\cdot y=\sqrt{\dfrac{1}{9}\cdot\dfrac{27}{y^2}}=\sqrt{\dfrac{3}{y^2}}\)
Bài 3:
a) Ta có: \(\left(\dfrac{2}{\sqrt{3}-1}+\dfrac{3}{\sqrt{3}-2}+\dfrac{15}{3-\sqrt{3}}\right)\cdot\dfrac{1}{\sqrt{3}+5}\)
\(=\left(\dfrac{2\left(\sqrt{3}+1\right)}{2}-\dfrac{3\left(2+\sqrt{3}\right)}{1}+\dfrac{15\left(3+\sqrt{3}\right)}{6}\right)\cdot\dfrac{1}{\sqrt{3}+5}\)
\(=\left(\sqrt{3}+1-2-\sqrt{3}+\dfrac{5\left(3+\sqrt{3}\right)}{2}\right)\cdot\dfrac{1}{\sqrt{3}+5}\)
\(=\left(-1+\dfrac{5\left(3+\sqrt{3}\right)}{2}\right)\cdot\dfrac{1}{5+\sqrt{3}}\)
\(=\dfrac{-2+15+5\sqrt{3}}{2\left(5+\sqrt{3}\right)}\)
\(=\dfrac{13+5\sqrt{3}}{10+2\sqrt{3}}\)
7
30
0
12
30
0
thấy đúng k nhé
7
30
0
12
30
0
Học tốt !!!