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Lời giải:
\(H=2-\frac{3}{17}-\frac{5}{23}+\frac{2}{17}-\frac{1}{2023}-\frac{16}{17}-\frac{18}{23}\\ =2-(\frac{3}{17}-\frac{2}{17}+\frac{16}{17})-(\frac{5}{23}+\frac{18}{23})-\frac{1}{2023}\\ =2-1-1-\frac{1}{2023}=-\frac{1}{2023}\)
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\(K=\frac{7}{23}.\frac{-11}{17}+\frac{7}{23}.\frac{4}{17}-\frac{7}{23}.\frac{10}{17}\\ =\frac{7}{23}(\frac{-11}{17}+\frac{4}{17}-\frac{10}{17})\\ =\frac{7}{23}.\frac{-17}{17}=\frac{-7}{23}\)
52x-2 + 22.52 = 53
52x-2 + 100 = 125
52x-2 = 125 - 100
52x-2 = 25
52x-2 = 52
2x- 2 = 2
2x = 2 + 2
2x = 4
x = 4:2
x = 2
52x-2 + 22.52 = 53
52x-2 + 100 = 125
52x-2 = 125 - 100
52x-2 = 25
52x-2 = 52
2x- 2 = 2
2x = 2 + 2
2x = 4
x = 4:2
x = 2
Câu 2:
1: \(\Leftrightarrow x\cdot\dfrac{7}{2}=\dfrac{9}{2}+3=\dfrac{15}{2}\)
hay x=15/7
2: \(\Leftrightarrow x=\dfrac{5}{2}\cdot\dfrac{8}{5}=4\)
3: \(\Leftrightarrow x=\dfrac{-11\cdot10}{5}=-11\cdot2=-22\)
4: =>2x=90
hay x=45
\(\dfrac{5}{11}\cdot\dfrac{3}{17}+\dfrac{5}{11}\cdot\dfrac{8}{17}=\dfrac{5}{11}\cdot\left(\dfrac{3}{17}+\dfrac{8}{17}\right)=\dfrac{5}{11}\cdot\dfrac{11}{17}=\dfrac{5}{17}\)
5: Để A nguyên thì \(x^2-4+6⋮x+2\)
\(\Leftrightarrow x+2\in\left\{1;-1;2;-2;3;-3;6;-6\right\}\)
hay \(x\in\left\{-1;-3;0;-4;1;-5;4;-8\right\}\)