/Mọi người ơi giúp em phép tính 120 - y x 5/6 = 2 +2/3
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\(\Leftrightarrow\left\{{}\begin{matrix}\left(x+y+1\right)\left(x+y-6\right)=0\\y-x-3=0\left(3\right)\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\left[{}\begin{matrix}x=-\left(y+1\right)\left(1\right)\\x=6-y\left(2\right)\end{matrix}\right.\\y-x-3=0\left(3\right)\end{matrix}\right.\)
\(thế\left(1\right)\left(2\right)vào\left(3\right)\Rightarrow\left(x;y\right)\)
\(x=\left[6\frac{3}{5}:6-0,125\cdot8+2\frac{2}{15}\cdot0,05\right]\cdot\frac{11}{4}\)
\(\Leftrightarrow x=\left[\frac{33}{5}:6-\frac{1}{8}\cdot8+\frac{32}{15}\cdot\frac{1}{20}\right]\cdot\frac{11}{4}\)
\(\Leftrightarrow x=\left[\frac{33}{5}\cdot\frac{1}{6}-\frac{1}{8}\cdot8+\frac{32}{15}\cdot\frac{1}{20}\right]\cdot\frac{11}{4}\)
\(\Leftrightarrow x=\left[\frac{11}{5}\cdot\frac{1}{2}-1+\frac{8}{15}\cdot\frac{1}{5}\right]\cdot\frac{11}{4}\)
\(\Leftrightarrow x=\left[\frac{11}{10}-1+\frac{8}{75}\right]\cdot\frac{11}{4}\)
\(\Leftrightarrow x=\left[\frac{1}{10}+\frac{8}{75}\right]\cdot\frac{11}{4}\)
Tính nốt đi nhé Nguyển Lương Hiếu
3*x+4*x+8*x - 2*(32+8)=30
Tìm x
Mọi người ơi, giúp em với ạ .Cả phép tính lúc nãy nữa ạ . Phân vân quá
3x + 4x + 8x - 2( 32 + 8 ) = 30
15x - 2.40 = 30
15x - 80 = 30
15x = 30 + 80
15x = 110
x = 110 : 15
x = 22/3
3x+4x+8x - 2.(32+8) = 30
( 3 + 4 + 8 )x - 2.40 = 30
15x - 80= 30
15x = 30 + 80 = 110
x = 110 : 15 = \(\frac{22}{3}\)
\(1,\dfrac{3x+2}{6}-\dfrac{3x-2}{4}=\dfrac{15}{8}\\ \Leftrightarrow\dfrac{4\left(3x+2\right)}{24}-\dfrac{6\left(3x-2\right)}{24}-\dfrac{45}{24}=0\\ \Leftrightarrow12x+24-18x+12-45=0\\ \Leftrightarrow-6x-9=0\\ \Leftrightarrow x=-\dfrac{3}{2}\)
2, ĐKXĐ:\(x\ne\pm3\)
\(\dfrac{x+2}{3+x}-\dfrac{x}{3-x}=\dfrac{8x-6}{9-x^2}\\ \Leftrightarrow\dfrac{\left(x+2\right)\left(3-x\right)}{\left(3+x\right)\left(3-x\right)}-\dfrac{x\left(3+x\right)}{\left(3+x\right)\left(3-x\right)}-\dfrac{8x-6}{\left(3+x\right)\left(3-x\right)}=0\\ \Leftrightarrow\dfrac{-x^2+x+6-3x-x^2-8x+6}{\left(3+x\right)\left(3-x\right)}=0\\ \Leftrightarrow-2x^2-10x+12=0\\ \Leftrightarrow x^2+5x-6=0\\ \Leftrightarrow\left(x-1\right)\left(x+6\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=1\left(tm\right)\\x=-6\left(tm\right)\end{matrix}\right.\)
\(a,\dfrac{3x+2}{6}-\dfrac{3x-2}{4}=\dfrac{15}{8}\)
\(\Leftrightarrow4\left(3x+2\right)-6\left(3x-2\right)=45\)
\(\Leftrightarrow12x+8-18x+12=45\)
\(\Leftrightarrow12x-18x=45-12-8\)
\(\Leftrightarrow-6x=25\)
\(\Leftrightarrow x=\dfrac{-25}{6}\)
Vậy \(S=\left\{\dfrac{-25}{6}\right\}\)
\(b,\dfrac{x+2}{3+x}-\dfrac{x}{3-x}=\dfrac{8x-6}{9-x^2}\left(ĐKXĐ:x\ne3;x\ne-3\right)\)
\(\Leftrightarrow\left(x+2\right)\left(3-x\right)-x\left(3+x\right)=8x-6\)
\(\Leftrightarrow3x-x^2+6-2x-3x-x^2=8x-6\)
\(\Leftrightarrow-x^2-x^2+3x-2x-3x-8x=-6+6\)
\(\Leftrightarrow-2x^2-10x=0\)
\(\Leftrightarrow-2x\left(x-5\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}-2x=0\\x-5=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\left(nhận\right)\\x=5\left(nhận\right)\end{matrix}\right.\)
Vậy \(S=\left\{0;5\right\}\)