Tìm giá trị của x , biết: (a) x − 3 , 28 = − 6 , 38 . (b) 11/9 − x = 5/3 .
a) \(x - 3,28 = - 6,38\)
\(x = - 6,38 + 3,28\)
\(x = - 3,1\)
Vậy \(x = - 3,1.\)
b) \(\frac{{11}}{9} - x = \frac{5}{3}\)
\(x = \frac{{11}}{9} - \frac{5}{3}\)
\(x = - \frac{4}{9}.\)
Vậy \(x = - \frac{4}{9}.\)
c) \(\frac{4}{5}.x + \frac{1}{5} = \frac{4}{{15}}\)
\(\frac{4}{5}x = \frac{4}{{15}} - \frac{1}{5}\)
\[\frac{4}{5}x = \frac{1}{{15}}\]
\[x = \frac{1}{{15}}:\frac{4}{5}\]
\[x = \frac{1}{{12}}\]
Vậy \(x = \frac{1}{{12}}.\)
d) \({\left( {x - \frac{1}{4}} \right)^2} + \frac{3}{8} = \frac{{31}}{{16}}\)
\({\left( {x - \frac{1}{4}} \right)^2} = \frac{{31}}{{16}} - \frac{3}{8}\)
\({\left( {x - \frac{1}{4}} \right)^2} = \frac{{25}}{{16}}\)
\({\left( {x - \frac{1}{4}} \right)^2} = {\left( {\frac{5}{4}} \right)^2}\)
\(x - \frac{1}{4} = \frac{5}{4}\) hoặc \(x - \frac{1}{4} = - \frac{5}{4}\)
\(x = \frac{5}{4} + \frac{1}{4}\) \(x = - \frac{5}{4} + \frac{1}{4}\)
\(x = \frac{3}{2}\) \(x = - 1\)
Vậy \(x = \frac{3}{2};x = - 1.\)