(x+10)(x+4)/12 - (x+4)(2-x)/4 = (x+10)(x-2)/3
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\(5\frac{9}{10}:\frac{3}{2}-\left(2\frac{1}{3}x4\frac{1}{2}-2\frac{1}{2}\right):\frac{7}{4}\)
=\(\frac{59}{10}:\frac{3}{2}-\left(\frac{7}{3}x\frac{9}{2}-\frac{5}{2}\right):\frac{7}{4}\)
=\(\frac{118}{30}-\left(\frac{63}{6}-\frac{5}{2}\right)x\frac{4}{7}\)
=\(\frac{118}{30}-\left(\frac{63}{6}-\frac{15}{6}\right)x\frac{4}{7}\)
=\(\frac{118}{30}-8x\frac{4}{7}\)
=\(\frac{118}{30}-\frac{32}{7}\)
sau bn tự tính nha
Ta có: \(\frac{5}{x}-\frac{y}{4}=\frac{1}{8}\)
=> \(\frac{5}{x}=\frac{1}{8}+\frac{y}{4}\)
=> \(\frac{5}{x}=\frac{1+2y}{8}\)
=> (1 + 2y)x = 40 = 1 . 40 = 2.20 = 5 . 8 = 4 . 10
Vì 1 + 2y là số lẽ nên => 1 + 2y \(\in\)1; 5;-1;-5
Lập bảng :
x | 8 | 10 | -8 | -10 |
1 + 2y | 5 | 1 | -5 | -1 |
y | 2 | 0 | -3 | -1 |
Vậy ...
b) Ta có: \(\frac{x}{5}+\frac{1}{10}=\frac{1}{y}\)
=> \(\frac{2x+1}{10}=\frac{1}{y}\)
=> (2x + 1).y = 10 = 1 . 10 = 2. 5
Vì 2x + 1 là số lẽ => 2x + 1 \(\in\){1; 5; -1; -5}
Lập bảng: tương tự câu a
c) Như câu b.
a) (x+1) + (x+3) + (x+5) +....+ (x+99) = 0
=> \(\frac{\left[\left(x+1\right)+\left(x+99\right)\right].50}{2}=0\)
=> (2x+100).50=0.2
=>x+50=0
=>x=0-50
=>x= -50
b) (x-3) + (x-2) + (x-1) + ....+ (10+11) = 1
Bỏ số hạng
1) \(\frac{4}{5}.x=\frac{8}{35}\Rightarrow x=\frac{8}{25}:\frac{4}{5}\Rightarrow x=\frac{2}{5}\)
\(\frac{2}{3}.x+\frac{1}{4}=\frac{7}{12}\Rightarrow\frac{2}{3}.x=\frac{7}{12}-\frac{1}{4}\)
\(\Rightarrow\frac{2}{3}.x=\frac{1}{3}\)
\(\Rightarrow x=\frac{1}{3}:\frac{2}{3}\)
\(x=\frac{1}{2}\)
\(\frac{x}{10}=\frac{3}{10}\Rightarrow x=\frac{10.3}{10}\Rightarrow x=3\)
a) Ta có: \(\frac{-6}{12}< \frac{x}{12}< \frac{-4}{12}\Rightarrow-6< x< -4\Rightarrow x=-5\)
b) \(\frac{-6}{5}+\frac{13}{15}< \frac{x}{15}< \frac{-2}{5}+\frac{1}{3}\)
\(\Rightarrow\frac{-1}{3}< \frac{x}{15}< \frac{-1}{15}\)
\(\Rightarrow\frac{-5}{15}< \frac{x}{15}< \frac{-1}{15}\)
\(\Rightarrow-5< x< -1\)
\(\Rightarrow x=\left\{-4;-3;-2\right\}\)
a, 2.(4x-3)-3(x+5)+4(x-10)=5(x+2)
2.4x-2.3-3.x+3.5+4x-4.10=5x+5.2
8x-6-3x+15+4x-40=5x-10
8x-3x+4x-5x-6-15-40-10=0
4x-71=0
4x=71
x=71:4
x=71/4
\(a,5^{x-2}=125\)
\(\Rightarrow5^{x-2}=5^3\)
\(\Rightarrow x-2=3\)
\(\Rightarrow x=5\)
\(b,3^{x+4}=243\)
\(\Rightarrow3^{x+4}=3^5\)
\(\Rightarrow x+4=5\)
\(\Rightarrow x=1\)
\(5^{x-2}=125\)
\(\Rightarrow5^{x-2}=5^3\)
\(\Rightarrow x-2=3\)
\(\Rightarrow x=3+2\)
\(\Rightarrow x=5\)
\(a,\dfrac{7}{12}-\left(x+\dfrac{7}{10}\right):\dfrac{6}{5}=\dfrac{5}{4}\)
\(\Leftrightarrow\dfrac{7}{12}-x-\dfrac{7}{10}:\dfrac{6}{5}=\dfrac{5}{4}\)
\(\Leftrightarrow\dfrac{7}{12}-x-\dfrac{7}{12}=\dfrac{5}{4}\)
\(\Leftrightarrow\dfrac{7}{12}-x=\dfrac{5}{4}+\dfrac{7}{12}\)
\(\Leftrightarrow\dfrac{7}{12}-x=\dfrac{11}{6}\)
\(\Leftrightarrow x=\dfrac{7}{12}-\dfrac{11}{6}\)
\(\Leftrightarrow\dfrac{-5}{4}\)
\(\frac{\left(x+10\right)\left(x+4\right)}{12}-\frac{\left(x+4\right)\left(2-x\right)}{4}=\frac{\left(x+10\right)\left(x-2\right)}{3}\)
\(\Leftrightarrow\) \(\frac{\left(x+10\right)\left(x+4\right)}{12}-\frac{3\left(x+4\right)\left(2-x\right)}{12}+\frac{4\left(x+10\right)\left(2-x\right)}{12}=0\)
\(\Leftrightarrow\) (x + 10)(x + 4) - 3(x + 4)(2 - x) + 4(x + 10)(2 - x) = 0
\(\Leftrightarrow\) x2 + 14x + 40 + 3x2 + 6x - 24 - 4x2 - 32x + 80 = 0
\(\Leftrightarrow\) -12x + 96 = 0
\(\Leftrightarrow\) -12(x - 8) = 0
\(\Leftrightarrow\) x - 8 = 0
\(\Leftrightarrow\) x = 8
Vậy S = {8}
Chúc bn học tốt!!