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a; \(\dfrac{-x}{4}\) = \(\dfrac{-2}{x}\)
-\(x.x\) = -2.4
-\(x^2\) = -8
\(x^2\) = 8
\(\left[{}\begin{matrix}x=-\sqrt{8}\\x=\sqrt{8}\end{matrix}\right.\)
Vậy \(x\in\) {-\(\sqrt{8}\); \(\sqrt{8}\)}
-4/8=-12/24=z/24. Suy ra z=-12
-4/8=-1/2=5/-10=x/-10. Suy ra x=5
-4/8=-1/2=-7/14=-7/y. Suy ra y=14
Ủng hộ mk nha
-4/8=-12/24=z/24. Suy ra z=-12
-4/8=-1/2=5/-10=x/-10. Suy ra x=5
-4/8=-1/2=-7/14=-7/y. Suy ra y=14
Ủng hộ mk nha, mãi chưa đc nào cả !!
4/8 =x/−10 =−7/y =z/−6
⇒-4/8 =x/−10 ⇒x=4·(−10)/8 =−5(1)
⇒−5/10 =−7/y ⇒y=−10·(−7)/−5 =−14(2)
⇒−7/14 =z/−6 ⇒z=−7·(−6)/−14 =−3(3)
Từ (1);(2);(3) . Ta có -4/8 =5/-10 =−7/14 =3/-6
\(\frac{x}{-10}=\frac{-7}{y}=\frac{z}{-6}=\frac{-4}{8}\)
Ta có ;
\(\frac{x}{-10}=\frac{-4}{8}\Leftrightarrow\frac{8x}{-80}=\frac{40}{-80}\Leftrightarrow8x=40\Leftrightarrow x=5\)
\(\frac{-7}{y}=\frac{-4}{8}\Leftrightarrow\frac{-56}{8y}=\frac{-4y}{8y}\Leftrightarrow-56=-4y\Leftrightarrow y=14\)
\(\frac{z}{-6}=\frac{-4}{8}\Leftrightarrow\frac{8z}{-48}=\frac{24}{-48}\Leftrightarrow8z=24\Leftrightarrow x=3\)
a./ \(\frac{x}{5}=\frac{y}{7}=\frac{z}{4}=\frac{x-y+z}{5-7+4}=\frac{-10}{2}=-5\)
\(\Rightarrow x=-25;y=-35;z=-20\)
b./ \(\frac{x}{5}=\frac{y}{-4}=\frac{z}{-7}=\frac{x+y-z}{5-4-\left(-7\right)}=\frac{-40}{6}=-5\)
\(\Rightarrow x=-25;y=20;z=35\)
\(\frac{3}{x-5}=-\frac{4}{x+2}\)
\(\Leftrightarrow3\left(x+2\right)=-4\left(x-5\right)\)
\(\Leftrightarrow3x+6=-4x+20\)
\(\Leftrightarrow7x=14\)
\(\Leftrightarrow x=2\)
\(\frac{x}{-2}=-\frac{8}{x}\)
\(\Leftrightarrow x^2=16\)
\(\Leftrightarrow x=\pm4\)
\(-\frac{2}{x}=\frac{y}{3}\)
\(\Leftrightarrow xy=-6\)
\(\Leftrightarrow x;y\inƯ\left(-6\right)=\left\{\pm1;\pm2;\pm3;\pm6\right\}\)
Xét bảng
| x | 1 | -1 | 2 | -2 | 3 | -3 | 6 | -1 |
| y | -6 | 6 | -3 | 3 | -2 | 2 | -1 | 6 |
Vậy.................
\(\frac{2x-9}{240}=\frac{39}{80}\)
\(\Leftrightarrow2x-9=\frac{240.39}{80}\)
\(\Leftrightarrow2x-9=117\)
\(\Leftrightarrow2x=126\)
\(\Leftrightarrow x=63\)
\(\frac{x}{3}=\frac{y}{4}\Rightarrow\frac{x}{21}=\frac{y}{28}\)
\(\frac{z}{5}=\frac{y}{7}\Rightarrow\frac{y}{28}=\frac{z}{20}\)
\(\Rightarrow\frac{x}{21}=\frac{y}{28}=\frac{z}{20}=\frac{2x}{42}=\frac{3y}{84}\)
Áp dụng tính chất của dãy tỉ số bằng nhau, ta có:
\(\frac{z}{20}=\frac{2x}{42}=\frac{3y}{84}=\frac{2x+3y-z}{42+84-20}=\frac{106}{106}=1\)
- \(\frac{z}{20}=1\Rightarrow z=20\)
- \(\frac{x}{21}=1\Rightarrow x=21\)
- \(\frac{y}{28}=1\Rightarrow y=28\)
Ta có: \(\hept{\begin{cases}\frac{x}{3}=\frac{y}{4};\frac{z}{5}=\frac{y}{7}\\2x+3y-z=106\end{cases}}\) \(\Rightarrow\frac{x}{21}=\frac{y}{28}=\frac{z}{20}\) \(\Rightarrow\frac{2x+3y-z}{42+84-20}=\frac{106}{106}=1\)
Vậy: x = 1.21 = 21
y = 1.28 = 28
z = 1.20 = 20
\(\frac{x}{7}=\frac{-y}{4}=\frac{-8}{z}=\frac{-28}{49}\)
Cái này thì phải làm ngược từ phải sang trái =))
* \(\frac{-8}{z}=\frac{-28}{49}\Leftrightarrow-28z=-8\cdot49\Leftrightarrow-28z=-392\Leftrightarrow z=14\)
* \(\frac{-y}{4}=\frac{-8}{14}\Leftrightarrow-14y=-8\cdot4\Leftrightarrow-14y=-32\Leftrightarrow y=\frac{16}{7}\)
* \(\frac{x}{7}=\frac{-\frac{16}{7}}{4}\Leftrightarrow4x=-\frac{16}{7}\cdot7\Leftrightarrow4x=-16\Leftrightarrow x=-4\)
\(\frac{x}{7}=\frac{-y}{4}=\frac{-8}{z}=\frac{-28}{49}\)
\(\Rightarrow\frac{x}{7}=\frac{-28}{49};\frac{-y}{4}=\frac{-28}{49};\frac{-8}{z}=\frac{-28}{49}\)
+)\(\frac{x}{7}=\frac{-28}{49}\Rightarrow49x=\left(-28\right).7\Rightarrow49x=-196\Rightarrow x=\frac{-196}{49}=-4\)
+)\(\frac{-y}{4}=\frac{-28}{49}\Rightarrow-49y=\left(-28\right).4\Rightarrow-49y=-112\Rightarrow y=\frac{-112}{49}\)
+)\(\frac{-8}{z}=\frac{-28}{49}\Rightarrow-28z=49.\left(-8\right)\Rightarrow-28z=-392\Rightarrow z=\frac{-392}{-28}=14\)
Vậy x=-4;y=\(\frac{-112}{49}\);z=14
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