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$(2x+\dfrac 3 5)^2-\dfrac{24}{25}=1\\\Leftrightarrow (2x+\dfrac{3}{5})^2=\dfrac{49}{25}\\\Leftrightarrow \left[\begin{array}{1}2x+\dfrac{3}{5}=\dfrac{7}{5}\\2x+\dfrac{3}{5}=-\dfrac{7}{5}\end{array}\right.\\\Leftrightarrow \left[\begin{array}{1}2x=\dfrac{4}{5}\\2x=-2\end{array}\right.\\\Leftrightarrow \left[\begin{array}{1}x=\dfrac{2}{5}\\x=-1\end{array}\right.$
Vậy $x=\dfrac{2}{5},x=-1$
GIải
\(\left(2x+\dfrac{3}{5}\right)^2-\dfrac{24}{25}=1\)
\(\left(2x+\dfrac{3}{5}\right)^2\) \(=1+\dfrac{24}{25}\)
\(\left(2x+\dfrac{3}{5}\right)^2\) \(=\dfrac{49}{25}\)
\(4x+\dfrac{9}{25}\) \(=\dfrac{49}{25}\)
\(4x\) \(=\dfrac{49}{25}-\dfrac{9}{25}\)
\(4x\) \(=\dfrac{8}{5}\)
\(x\) \(=4:\dfrac{8}{5}\)
\(x\) \(=\dfrac{5}{2}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 4 + 9( x+6) = -2 + 25 = 23
=> 9(x+6) = 23 -4 =19
=> 9x + 54 = 19
=> 9x = 19 -54 =-35
=> x = \(-\dfrac{35}{9}\)
b) \(\dfrac{5}{x}-\dfrac{1}{8}=\dfrac{1}{2}+\left(-\dfrac{5}{12}\right)\)
\(\dfrac{5}{x}-\dfrac{1}{8}=\dfrac{6}{12}-\dfrac{5}{12}=\dfrac{1}{12}\)
\(\dfrac{5}{x}=\dfrac{1}{12}+\dfrac{1}{8}=\dfrac{5}{24}\)
\(\Rightarrow x=24\)
c) Đề đúng chứ ?
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(3-x\right)^2+\frac{-9}{25}=\frac{2}{5}-\frac{8}{5}\)
\(\Rightarrow\left(3-x\right)^2+\frac{-9}{25}=\frac{-6}{5}\)
\(\Rightarrow\left(3-x\right)^2=\frac{-6}{5}+\frac{9}{25}\)
\(\Rightarrow\left(3-x\right)^2=\frac{-30}{25}+\frac{9}{25}\)
\(\Rightarrow\left(3-x\right)^2=\frac{-21}{25}\)
..đến đey thì có vấn đề =="
bạn ơi bài toán có sai đề bài ko nếu ko sai thì mình nghĩ lại
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left[2x+\left(\frac{3}{5}\right)^2\right]-\frac{9}{25}=0\)
=> \(2x+\frac{9}{25}-\frac{9}{25}=0\)
=> \(2x+0=0\)
=> \(x=0\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Q=(2^9.3+2^9.5):2^12
Đặt A=2^9.3+2^9.5
A=2^9.(3+5)
A=2^9.8
Mặt khác:8=2^3
=>A=2^9.2^3
A=2^12
Theo đề bài ta có Q=(2^9.3+2^9.5):2^12
=>Q=2^12:2^12
Q=1
Nhìn dài dòng thế thôi chứ đơn giản lắm.Nếu thấy đúng thì cho mình nhé!
Sửa đề:
\(\left(2x+\frac{3}{5}\right)^2-\frac{9}{25}=0\)
\(\left(2x+\frac{3}{5}\right)^2=\frac{9}{25}\)
\(\left(2x+\frac{3}{5}\right)^2=\left(\pm\frac{3}{5}\right)^2\)
\(\Rightarrow\orbr{\begin{cases}2x+\frac{3}{5}=\frac{3}{5}\\2x+\frac{3}{5}=-\frac{3}{5}\end{cases}\Leftrightarrow\orbr{\begin{cases}2x=0\\2x=-\frac{6}{5}\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=0\\x=-\frac{3}{5}\end{cases}}}\)
Vậy \(x=0\) hoặc \(x=-\frac{3}{5}\)
Tham khảo nhé