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a,-5x+4=x-8
-5x-x = -8 - 4
-6x = -12
x = -12 : (-6)
x = 2
vậy____
b,2-|3x+1|=-18
|3x+1| = 2-(-18)
|3x+1| = 20
+) 3x + 1 = 20
3x = 20 - 1
3x = 19
x = 19 : 3 = 6,3333.... mà x thuộc Z
=> 3x + 1 = 20 loại
+) 3x + 1 = -20
3x = -20 - 1
3x = -21
x = -21 : 3
x = -7
vậy x = -7
1a) (2x - 6)(x + 2) = 0
=> \(\orbr{\begin{cases}2x-6=0\\x+2=0\end{cases}}\)
=> \(\orbr{\begin{cases}2x=6\\x=-2\end{cases}}\)
=> \(\orbr{\begin{cases}x=3\\x=-2\end{cases}}\)
b) (x2 + 7)(x2 - 25) = 0
=> \(\orbr{\begin{cases}x^2+7=0\\x^2-25=0\end{cases}}\)
=> \(\orbr{\begin{cases}x^2=-7\\x^2=25\end{cases}}\)
=> x ko có giá trị vì x2 \(\ge\)0 mà x2= -7
hoặc x = \(\pm\)5
a) x= 1/4
b) x= -7/144
c) x= 25/6
d) x=17/7
e) x= 80/63
f) x= -45/14
\(a.\)
\(\frac{4}{9}.x=\frac{1}{9}\)
\(\Rightarrow x=\frac{1}{9}:\frac{4}{9}\)
\(\Rightarrow x=\frac{1}{9}.\frac{9}{4}\)
\(\Rightarrow x=\frac{1}{4}\)
Vậy \(x=\frac{1}{4}\)
\(b.\)
\(\frac{7}{18}.x-\frac{2}{3}=\frac{5}{18}\)
\(\Rightarrow\frac{7}{18}.x=\frac{5}{18}+\frac{2}{3}\)
\(\Rightarrow\frac{7}{18}.x=\frac{5}{18}+\frac{12}{18}\)
\(\Rightarrow\frac{7}{18}.x=\frac{17}{18}\)
\(\Rightarrow x=\frac{17}{18}:\frac{7}{18}\)
\(\Rightarrow x=\frac{17}{18}.\frac{18}{7}\)
\(\Rightarrow x=\frac{17}{7}\)
Vậy \(x=\frac{17}{7}\)
\(c.\)
\(x:-\frac{1}{12}=\frac{7}{12}\)
\(\Rightarrow x=\frac{7}{12}.-\frac{1}{12}\)
\(\Rightarrow x=-\frac{7}{144}\)
Vậy \(x=-\frac{7}{144}\)
\(d.\)
\(\frac{4}{9}-\frac{7}{8}.x=-\frac{2}{3}\)
\(\Rightarrow\frac{7}{8}.x=\frac{4}{9}-\left(-\frac{2}{3}\right)\)
\(\Rightarrow\frac{7}{8}.x=\frac{4}{9}+\frac{2}{3}\)
\(\Rightarrow\frac{7}{8}.x=\frac{4}{9}+\frac{6}{9}\)
\(\Rightarrow\frac{7}{8}.x=\frac{10}{9}\)
\(\Rightarrow x=\frac{10}{9}:\frac{7}{8}\)
\(\Rightarrow x=\frac{10}{9}.\frac{8}{7}\)
\(\Rightarrow x=\frac{80}{63}\)
Vây \(x=\frac{80}{63}\)
\(e.\)
\(-\frac{5}{14}:x=-\frac{3}{10}\)
\(\Rightarrow x=-\frac{5}{14}:-\frac{3}{10}\)
\(\Rightarrow x=-\frac{5}{14}.-\frac{10}{3}\)
\(\Rightarrow x=\frac{5}{7}.\frac{5}{3}\)
\(\Rightarrow x=\frac{25}{21}\)
Vậy \(x=\frac{25}{21}\)
\(g.\)
\(\frac{1}{6}+\frac{-5}{7}:x=-\frac{7}{18}\)
\(\Rightarrow-\frac{5}{7}:x=-\frac{7}{18}-\frac{1}{6}\)
\(\Rightarrow-\frac{5}{7}:x=-\frac{7}{18}-\frac{3}{18}\)
\(\Rightarrow-\frac{5}{7}:x=-\frac{10}{18}\)
\(\Rightarrow-\frac{5}{7}:x=-\frac{5}{9}\)
\(\Rightarrow x=-\frac{5}{7}:-\frac{5}{9}\)
\(\Rightarrow x=-\frac{5}{7}.-\frac{9}{5}\)
\(\Rightarrow x=\frac{9}{7}\)
Vậy \(x=\frac{9}{7}\)
a/ \(\frac{x}{-3}=\frac{-12}{x}\)
=> x . x = (-3) . (-12)
=> x2 = 36
=> x = ±6
b/ \(\frac{\left|x-1\right|}{-6}=\frac{-18}{4}\)
=> 4 . |x - 1| = (- 6) . (- 18)
=> 4 . |x - 1| = 108
=> |x - 1| = 27
Có 2 TH xảy ra :
TH1 : x - 1 = 27 => x = 28
TH2 : - (x - 1) = 27 => -x + 1 = 27 => -x = 26 => x = -26
c/ \(\frac{2y}{-3}=\frac{18}{y^2}\)
=> 2y . y2 = 18 . (-3)
=> 2 . y3 = -54
=> y3 = -27
=> y3 = (- 3)3
=> y = -3