Phần típ theo nè!
Câu 5: Tìm \(x\):
Đề bài : \(xxx\) - \(x
\) x 105 = 30
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Câu 6: Tìm \(x \):
a) \(x \) x 7 + \(x\) = 384.
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b) \( x\)\(x
\) - \(x\) x 2 = 378.
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Câu 7: Tìm số tự nhiên ab biết ab x 9 = 2ab :
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Câu 8: Viết biểu thức sau thành tích 2 thừa số:
Đề bài: ab + ab x 2 + ab x 4 + ab =
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-------- Còn nữa -------
\(\dfrac{5}{4\text{x}7}+\dfrac{5}{7\text{x}10}+...+\dfrac{5}{58\text{x}61}\)
\(=\dfrac{5}{3}\text{x}\left(\dfrac{3}{4\text{x}7}+\dfrac{3}{7\text{x}10}+...+\dfrac{3}{58\text{x}61}\right)\)
\(=\dfrac{5}{3}\text{x}\left(\dfrac{1}{4}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{10}+...+\dfrac{1}{58}-\dfrac{1}{61}\right)\)
\(=\dfrac{5}{3}\text{x}\left(\dfrac{1}{4}-\dfrac{1}{61}\right)=\dfrac{5}{3}\text{x}\dfrac{57}{244}=\dfrac{95}{244}\)
\(\dfrac{5}{4\times7}+\dfrac{5}{7\times10}+\dfrac{5}{10\times13}+...+\dfrac{5}{58\times61}\\ =\dfrac{5}{3}\times\left(\dfrac{3}{4\times7}+\dfrac{3}{7\times10}+\dfrac{3}{10\times13}+...+\dfrac{3}{58\times61}\right)\\ =\dfrac{5}{3}\times\left(\dfrac{1}{4}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{10}+\dfrac{1}{10}-\dfrac{1}{13}+...+\dfrac{1}{58}-\dfrac{1}{61}\right)\\ =\dfrac{5}{3}\times\left(\dfrac{1}{4}-\dfrac{1}{61}\right)\\ =\dfrac{5}{3}\times\dfrac{57}{244}=\dfrac{95}{244}\)