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\(a,1+3+5+7+...+x=330\)
SSH : \((x-1):1+1=x\)
Tổng : \(\frac{(1+x)\cdot x}{2}\)
Áp dụng phương pháp đó rồi làm thôi :v
Mấy bài kia cũng tương tự như thế thui
a) Ta có: \(\dfrac{1}{7}+x=-\dfrac{2}{3}\)
\(\Leftrightarrow x=-\dfrac{2}{3}-\dfrac{1}{7}=\dfrac{-14}{21}-\dfrac{3}{21}\)
hay \(x=-\dfrac{17}{21}\)
Vậy: \(x=-\dfrac{17}{21}\)
b) Ta có: \(\dfrac{-2}{3}:x=\dfrac{-5}{6}\)
\(\Leftrightarrow x=\dfrac{-2}{3}:\dfrac{-5}{6}=\dfrac{-2}{3}\cdot\dfrac{6}{-5}=\dfrac{-12}{-15}=\dfrac{4}{5}\)
Vậy: \(x=\dfrac{4}{5}\)
c) Ta có: \(\left(\dfrac{3}{5}-2x\right)\cdot\dfrac{5}{8}=1\)
\(\Leftrightarrow\left(\dfrac{3}{5}-2x\right)=1:\dfrac{5}{8}=\dfrac{8}{5}\)
\(\Leftrightarrow-2x=\dfrac{8}{5}-\dfrac{3}{5}=1\)
hay \(x=-\dfrac{1}{2}\)
Vậy: \(x=-\dfrac{1}{2}\)
d) Ta có: \(\dfrac{3}{4}+\dfrac{2}{5}x=\dfrac{29}{60}\)
\(\Leftrightarrow x\cdot\dfrac{2}{5}=\dfrac{29}{60}-\dfrac{3}{4}=\dfrac{29}{60}-\dfrac{45}{60}=\dfrac{-16}{60}=\dfrac{-4}{15}\)
hay \(x=\dfrac{-4}{15}:\dfrac{2}{5}=\dfrac{-4}{15}\cdot\dfrac{5}{2}=\dfrac{-20}{30}=-\dfrac{2}{3}\)
Vậy: \(x=-\dfrac{2}{3}\)
e) Ta có: \(\dfrac{3}{4}+\dfrac{1}{4}:x=\dfrac{2}{5}\)
\(\Leftrightarrow\dfrac{1}{4}:x=\dfrac{2}{5}-\dfrac{3}{4}=\dfrac{8}{20}-\dfrac{15}{20}=\dfrac{-7}{20}\)
hay \(x=-\dfrac{1}{4}:\dfrac{7}{20}=\dfrac{-1}{4}\cdot\dfrac{20}{7}=\dfrac{-20}{28}=\dfrac{-5}{7}\)
Vậy: \(x=-\dfrac{5}{7}\)
f) Ta có: \(\dfrac{11}{12}-\left(\dfrac{2}{5}+x\right)=\dfrac{2}{3}\)
\(\Leftrightarrow-x+\dfrac{11}{12}-\dfrac{2}{5}-\dfrac{2}{3}=0\)
\(\Leftrightarrow-x+\dfrac{55}{60}-\dfrac{24}{60}-\dfrac{40}{60}=0\)
\(\Leftrightarrow-x-\dfrac{9}{60}=0\)
\(\Leftrightarrow-x=\dfrac{9}{60}=\dfrac{3}{20}\)
hay \(x=-\dfrac{3}{20}\)
Vậy: \(x=-\dfrac{3}{20}\)
g) Ta có: \(\left|x+\dfrac{1}{3}\right|-4=\dfrac{-1}{2}\)
\(\Leftrightarrow\left|x+\dfrac{1}{3}\right|=\dfrac{-1}{2}+4=\dfrac{-1}{2}+\dfrac{8}{2}=\dfrac{7}{2}\)
\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{1}{3}=\dfrac{7}{2}\\x+\dfrac{1}{3}=-\dfrac{7}{2}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{7}{2}-\dfrac{1}{3}=\dfrac{21}{6}-\dfrac{2}{6}=\dfrac{19}{6}\\x=-\dfrac{7}{2}-\dfrac{1}{3}=\dfrac{-21}{6}-\dfrac{2}{6}=\dfrac{-23}{6}\end{matrix}\right.\)
Vậy: \(x\in\left\{\dfrac{19}{6};-\dfrac{23}{6}\right\}\)
Bài 3:
Ta có: \(x⋮126\)
\(x⋮198\)
Do đó: \(x\in BC\left(126;198\right)\)
\(\Leftrightarrow x\in B\left(1386\right)\)
mà x nhỏ nhất
nên x=1386
1/ Ta xem phần này trước: \(-\frac{6}{y}=\frac{6}{7}\left(rutgon\right)\)
\(\Rightarrow y=7.\left(-6\right):6=-7\)
Quay lại lúc đầu: \(\frac{x}{14}=\frac{6}{7}\)
\(\Rightarrow x=6.14:7=12\)
2/ \(\Leftrightarrow x-\frac{14}{x}=-3+\frac{2}{3}\)
\(\Leftrightarrow\frac{3x-2}{3}=-\frac{7}{3}\left(quydong\right)\)
\(\Leftrightarrow3x-2=-7\)
Giải nốt hộ nha lười quá
\(\frac{x}{14}=\frac{-6}{y}=\frac{6}{7}\)
Ta có :\(\frac{-6}{y}=\frac{6}{7}\)=>\(y=\frac{-6.7}{6}=-7\)
\(\frac{x}{14}=\frac{6}{7}\)=>\(x=\frac{6.14}{7}\)=12
2/\(\frac{x-2}{3}=\frac{14}{x-3}\)
=>(x-2).(x-3)=14.3=42
Tự làm nhé
a) Ta có:\(x\in\left\{23;24;25;26\right\}\)
\(56-x⋮8\Rightarrow x⋮8\)
\(\Rightarrow x=24\)
b) Ta có: \(x\in\left\{22;24;45;48\right\}\)
\(60+x⋮̸\)\(6\Rightarrow x⋮̸\)\(6\)
\(\Rightarrow x=22;45\)
\(\left(\frac{1}{4}x-1\right)+\left(\frac{5}{6}x-2\right)-\left(\frac{3}{8}x+5\right)=3,5\)
\(\Rightarrow\frac{1}{4}x-1+\frac{5}{6}x-2-\frac{3}{8}x-5=\frac{7}{2}\)
\(\Rightarrow\left(\frac{1}{4}+\frac{5}{6}-\frac{3}{8}\right)x+\left[\left(-1\right)+\left(-2\right)+\left(-5\right)\right]=\frac{7}{2}\)
\(\Rightarrow\frac{17}{24}x+\left(-8\right)=\frac{7}{2}\)
\(\Rightarrow\frac{17}{24}x=\frac{7}{2}-\left(-8\right)=\frac{23}{3}\)
\(\Rightarrow x=\frac{23}{2}:\frac{17}{24}=\frac{276}{17}\)
~ Hok tốt ~
x.1/6 - (60 - x).1/2 = 8
(=) 1/6x - 30 + 1/2x = 8
(=) 2/3x - 30 = 8
(=) 2/3x = 8 + 30
(=) 2/3x = 38
(=) x = 38 : 2/3
(=) x = 57
Vậy x = 57