Viết lại các tập hợp \(N=\left\{1;3;5;7\right\},M=\left\{1;4;9;16;25\right\}\) bằng cách chỉ ra một tính chất đặc trưng cho các phần tử thuộc tập hợp

\(a,=\dfrac{-25}{125}+\dfrac{1}{5}-\dfrac{2}{4}-\dfrac{1}{2}\\ =-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{2}-\dfrac{1}{2}\\ =-1\)

\(=\sqrt{5+2\sqrt{3}.\sqrt{5}+3}\\ =\sqrt{\left(\sqrt{3}+\sqrt{5}\right)^2}=\left|\sqrt{3}+\sqrt{5}\right|=\sqrt{3}+\sqrt{5}\)

\(a,5x=210-200\\ 5x=10\\ =2\\ b,210:x=30\\ x=70\\ c,5\left(x-1\right)=210\\ x-1=42\\ x=43\\d,36:\left(x-5\right)=4\\ x-5=9\\ x=14\)

\(=\dfrac{7}{19}\left(\dfrac{8}{11}+\dfrac{3}{11}\right)-\dfrac{12}{19}\\ =\dfrac{7}{19}.1-\dfrac{12}{19}\\ =\dfrac{-5}{19}\)

\(\dfrac{4}{3}-x=\dfrac{1}{3}\\ x=\dfrac{4}{3}-\dfrac{1}{3}\\ x=1\)

\(\dfrac{49}{8}:x=\dfrac{5+44}{5}\\ \dfrac{49}{8}:x=\dfrac{49}{5}\\ x=\dfrac{49}{8}:\dfrac{49}{5}\\ x=\dfrac{5}{8}\)

\(a,x:\dfrac{8}{3}=7\\ x=7.\dfrac{8}{3}\\ x=\dfrac{56}{3}\\ b,\dfrac{17}{3}:x=\dfrac{11}{3}-\dfrac{5}{2}\\ \dfrac{17}{3}:x=\dfrac{22-15}{6}\\ \dfrac{17}{3}:x=\dfrac{7}{6}\\ x=\dfrac{17}{3}:\dfrac{7}{6}\\ x=\dfrac{34}{7}\)

\(2\left(x+3\right)=816-106\\ 2\left(x+3\right)=710\\ x+3=355\\ x=355-3\\ x=352\)

\(5\left(x-1\right)=213+17\\ 5\left(x-1\right)=230\\ x-1=46\\ x=47\)