Cho 3x^2-x=0 ta co

 3x^2-x=0

x(3x-1)=0

x=0 hoac 3x-1=0

x=0 hoac x=1/3

\(=\frac{\left(2^{31}.3^{16}\right).2^{19}.3^{45}+\left(2^{31}.3^{16}\right).2^{59}}{\left(2^{31}.3^{16}\right).2^{20}.3^{45}+\left(2^{31}.3^{16}\right)}\\ =\frac{\left(2^{31}.3^{16}\right).\left(2^{19}.3^{45}+2^{59}\right)}{\left(2^{31}.3^{16}\right).\left(2^{20}.3^{45}+1\right)}\\ =\frac{2^{19}.3^{45}+2^{59}}{2^{20}.3^{45}+1}\)

\(2^{19}.\frac{3^{45}+2^{40}}{2^{20}.3^{45}+1}\)

\(x-2\sqrt{x}=0\)

\(\Rightarrow\sqrt{x}\left(\sqrt{x}-2\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}\sqrt{x}=0\\\sqrt{x}-2=0\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}\sqrt{x}=0\\\sqrt{x}=2\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=0\\x=4\end{matrix}\right.\)

\(x=\sqrt{x}\)

\(\Rightarrow x-\sqrt{x}=0\)

\(\Rightarrow\sqrt{x}\left(\sqrt{x}-1\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}\sqrt{x}=0\\\sqrt{x}-1=0\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}\sqrt{x}=0\\\sqrt{x}=1\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)

Bn ấn vô dấu ba chấm ở góc phải câu hỏi của bn, xong ấn xóa

Mik cũng ko biết, thôi bn thông cảm =))

5^x+1-5^x=500

(5^x-5^x)+1=500

0.5^x=499

Sai đề

5^x + 1 - 5^x = 500

=> 5^x - (-1) - 5^x = 500

=> 5^x - 5^x - (-1) = 500

=> 0 - (-1) = 500

=> 1 = 500

=> Sai đề

Voi x la so nguyen

a) Khi n = 10 có:

\(A=\frac{10-5}{10+1}=\frac{5}{11}\)

b) Khi n = 0

\(A=\frac{0-5}{0+1}=-\frac{5}{1}=-5\)

c) Để A thuộc Z thì n - 5 chia hết cho n + 1

=> n - 6 + 1 chia hết cho n + 1

=> n + 1 chia hết cho n + 1 =>  -6 chia hết n + 1

=> n + 1 thuộc Ư (6) = {1;2;3;6;-1;-2;-3;-6} 

=> n thuộc {0;1;2;5;-2;-3;-4;-7}

d. Để A tối giản thì n = {0;5;-2}

Khi n = 0 ta có : 

\(A=\frac{0-5}{0+1}=\frac{-5}{1}\)

\(\frac{2^{50}.3^{61}+2^{90}.3^{16}}{2^{51}.3^{61}+2^{31}.3^{16}}=\frac{2^{50}.3^{16}+3^{45}+2^{50}+2^{40}.3^{16}}{2^{31}+3^{20}+2^{31}.3^{16}}\)

                                 \(=556758,4881\)

=\(\frac{2^{50}.+2^{90}}{2^{51}+2^{31}}=\frac{2^{19}}{2^{39}}=\frac{1}{1048576}\)

K nha