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\(\frac{a}{b}=\frac{-3}{4}\Rightarrow a=-3k;b=4k\Rightarrow a+5b=17k=34\Rightarrow k=2\Rightarrow a=-6;b=8\)
Quân đây nhé
a) \(\frac{3x-2}{x+1}=\frac{6x-4}{2x+2}=\frac{6x-10}{2x+8}=\frac{6x-4-6x+10}{2x+2-2x-8}=\frac{6}{-6}=-1\)
\(\Rightarrow\)\(3x-2=-x-1\)\(\Leftrightarrow\)\(x=\frac{1}{4}\)
b) \(\frac{x}{y}=\frac{-3}{y}\)\(\Leftrightarrow\)\(\frac{x}{-3}=\frac{y}{4}\)\(\Leftrightarrow\)\(\frac{x}{-3}=\frac{5y}{20}=\frac{x+5y}{-3+20}=\frac{34}{17}=2\)
\(\Rightarrow\)\(\hept{\begin{cases}x=2.\left(-3\right)=-6\\y=2.4=8\end{cases}}\)
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\(\frac{2x-3}{\left(7-6x\right)^2}+\frac{x-2}{\left(7-6x\right)^2}=\frac{6x-3}{\left(3x-5\right)^2}-\frac{12x-10}{\left(3x-5\right)^2}\)
\(\Leftrightarrow\frac{2x-3+x-2}{\left(7-6x\right)^2}=\frac{6x-3-12x+10}{\left(3x-5\right)^2}\)
\(\Leftrightarrow\frac{3x-5}{\left(7-6x\right)^2}=\frac{7-6x}{\left(3x-5\right)^2}\)
\(\Leftrightarrow\left(7-6x\right)^3=\left(3x-5\right)^3\)
\(\Leftrightarrow7-6x=3x-5\)
\(\Leftrightarrow7+5=3x+6x\)
\(\Leftrightarrow12=9x\)
\(\Leftrightarrow x=\frac{4}{3}\)
Vậy \(x=\frac{4}{3}\)
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\(\Rightarrow\left(5x-2\right)\left(6x-2\right)=\left(3x+1\right).13\)
\(\Leftrightarrow30x^2-10x-12x+4=39x+13\)
\(\Leftrightarrow30x^2-61x-9=0\)
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a) x (3x - 2) - 3x (x + 5) = - 34
<=> 3x2-2x-3x2-15x=-34
<=>-17x=-34
<=>x=\(\frac{-34}{-17}\)
<=>x=2
b) (2x + 3) . (3x - 2) - 6x . (x - \(\frac{1}{2}\) ) = 26
<=>6x2-4x+9x-6-6x2 +3x=26
<=>8x=26+6=32
<=>x=32:8=4
nếu đúng nhớ k cho mk và kết bn nha!mk trả lời nhanh nhất đó. thank. chúc bn học tốt!
a) \(\Leftrightarrow x=2\)
b) \(\Leftrightarrow x=32\div8=4\)
Hk tốt
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1.CMR:
a) 3.\(\left(x^2+y^2+z^2\right)-\left(x-y\right)^2\) \(-\left(y-z\right)^2-\left(z-x\right)^2=\left(x+y+z\right)^2\)
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\(\frac{2x+1}{5}=\frac{3y-2}{7}=\frac{z+4}{9}=\frac{2x+3y-1}{6x}\)(1)
Áp dụng tính chất dãy tỉ sổ bằng nhau, ta được
\(\frac{2x+1}{5}=\frac{3y-2}{7}=\frac{z+4}{9}=\frac{2x+3y-1}{6x}=\frac{\left(2x+1\right)+\left(3y-2\right)}{5+7}=\frac{2x+3y-1}{12}\)
\(\Rightarrow\frac{2x+3y-1}{6x}=\frac{2x+3y-1}{12}\)
\(\Rightarrow\frac{12}{6x}=\frac{2x+3y-1}{2x+3y-1}=1\)
\(\Rightarrow\frac{2}{x}=1\)
\(\Rightarrow x=2\)
Thay x=2 vào (1), ta được
\(\frac{3y-2}{7}=\frac{z+4}{9}=\frac{2\cdot2+1}{5}=1\)
\(\Rightarrow\hept{\begin{cases}3y-2=7\\z+4=9\end{cases}}\Rightarrow\hept{\begin{cases}3y=9\\z=5\end{cases}}\Rightarrow\hept{\begin{cases}y=3\\z=5\end{cases}}\)
Vậy...hok tốt
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áp dụng t/c dãy tỉ số bằng nhau ta có:
\(\frac{3x-1}{2}=\frac{2y-3}{5}=\frac{3x-2y+2}{6x}=\frac{3x-1-2y+3-3x+2y-2}{2-5-6x}=0\)
\(\frac{3x-1}{2}=0\Rightarrow3x=1\Rightarrow x=\frac{1}{3},\frac{2y-3}{5}=0\Rightarrow2y=3\Rightarrow y=\frac{3}{2}\)
vậy ...
p/s: mk làm tắt ko hiểu ib hỏi mk =)