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height="300"><embed src="https://www.youtube.com/embed/vhcwrgVafCc?autoplay=1" width="400" height="300">

a) 6,3 + (-3,7) + 2,4 + (-0,3)

= (6,3 + 2,4) + [-3,7 + (-0,3)]

= 8,7 + (-4)

=  4,7

b) (-4,9) + 5,5 + 4,9 + (-5,5)

= (-4,9 + 4,9) + [5,5 + (-5,5)]

= 0 + 0

= 0

c) 2,9 + 3,7 + (-4,2) + (-2,9) + 4,2

= [2,9 + (-2,9)] + (-4,2 + 4,2) + 3,7

= 0 + 0 + 3,7

= 3,7

d) (-6,5) . 2,8 + 2,8 . (-3,5)

= 2,8 . [-6,5 + (-3,5)]

= 2,8 . (-10)

= -28.

 Bạn viết đề bài như thế này thì rất dễ gây ra hiểu nhầm cho người giải đấy. Đề bài trên có thể được hiểu theo rất nhiều cách:

\(3^{2x-1}+2.9^{x+1}=405\)

\(3^{2x}-1+2.9^{x+1}=405\)

hay \(3^{2x-1}+2.9^x+1=405\)

 Nhưng mình nghĩ với cái "thế hình" đề bài này thì mình nghĩ đề bài sẽ là \(3^{2x-1}+2.9^{x+1}=405\). 

 Điều này sẽ tương đương \(3^{2x-1}+2.3^{2\left(x+1\right)}=405\)

\(\Leftrightarrow3^{2x-1}+2.3^{2x-1+3}=405\)

\(\Leftrightarrow3^{2x-1}+2.27.3^{2x-1}=405\)

\(\Leftrightarrow55.3^{2x-1}=405\)

\(\Leftrightarrow3^{2x-1}=\dfrac{81}{11}\)

 Đến đây thì mình chịu không thể tìm được \(x\) tự nhiên nào thỏa mãn điều kiện này cả, có lẽ do mình chọn đề bài sai rồi. Nhưng nếu bạn vẫn muốn tìm cho được \(x\) thì mình sẽ làm tiếp như này nhé (bạn tham khảo thôi chứ đừng đem kết quả này ra khoe thầy cô nhé).

\(\Leftrightarrow2x-1=\log_3\dfrac{81}{11}\)

\(\Leftrightarrow x=\dfrac{\log_3\dfrac{81}{11}+1}{2}\) 

 (Xin lỗi bạn nhiều nhưng số này đúng là số \(x\) duy nhất thỏa mãn đề bài như vậy.)

*Nếu bạn muốn đăng câu hỏi mà có chèn thêm công thức toán học vào thì nhấn vào biểu tượng này để viết công thức dễ hiểu hơn nhé.

\(3.\dfrac{9}{10}>2.\dfrac{9}{10}\)

Hỗn số 3.9/10 lớn hơn hỗn số 2.9/10

Hỗn số 3.9/10 có phần nguyên là 3 còn 2.9/10 có phần nguyên là 2

Vì thế đưa ra kết luận: 3.9/10>2.9/10

Ta có: \(\dfrac{9}{10}=\dfrac{9}{10}\) mà 3>2 nên \(3.\dfrac{9}{10}>2.\dfrac{9}{10}\)

4.2^x - 3 = 123

  = > 123 + 3 = 4.2^x

= > 126 = 4.2^x

= 126 = 8^x

= > x = 126 : 8 

x = 15,75 (16)

Đs:

Ps: Hình như đề bài có vấn đề, còn nếu mình làm sai thì đừng trách nhá

(=) 4.2\(^x\)=123+3

(=) 4.2\(^x\)=126

(=) 2\(^x\)=126/4

(=) 2\(^x\)= 31.5

=> hình như sai đề, ktra lại đề r giải giống như trên

Mình cũng thấy là sai mấy bạn thử làm là: \(4.2^x-3=125\)

a x=24

b x=22 hoặc x=45

\(a,x=24\\ b,x\in\left\{22;45\right\}\)

A =\ dfrac {1} {2.9} + \ dfrac {1} {9.7} + \ dfrac {1} {7.19} + ... + \ dfrac {1} {252.509}2 . 91+9 . 71+7 . 1 91+. . .+2 5 2 . 5 0 91

A = 2. (\ dfrac {1} {4.9} + \ dfrac {1} {9.14} + \ dfrac {1} {14.19} + ... + \ dfrac {1} {504.509}4 . 91+9 . 1 41+1 4 . 1 91+. . .+5 0 4 . 5 0 91)

A =\ dfrac {2} {5}52(\ dfrac {1} {4} - \ dfrac {1} {9} + \ dfrac {1} {9} - \ dfrac {1} {14} + \ dfrac {1} {14} - \ dfrac {1} {19} + ... + \ dfrac {1} {504} - \ dfrac {1} {509}41-91+91-1 41+1 41-1 91+. . .+5 0 41-5 0 91)

A =\ dfrac {2} {5}52(\ dfrac {1} {4} - \ dfrac {1} {509}41-5 0 91)

A =\ dfrac {2} {5}52(\ dfrac {509} {2036} - \ dfrac {4} {2036}2 0 3 65 0 9-2 0 3 64)

A =\ dfrac {2} {5}52.\ dfrac {505} {2036}2 0 3 65 0 5

A =\ dfrac {101} {1018}1 0 1 81 0