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\(7^{2x}+7^{2x+2}=2450\)
\(\Rightarrow7^{2x}\left(1+7^2\right)=2450\)
\(\Rightarrow7^{2x}\cdot50=2450\)
\(\Rightarrow7^{2x}=49=7^2\)
\(\Rightarrow2x=2\Rightarrow x=1\)
\(7^{2x}+7^{2x+2}=2450\)
\(7^{2x}\left(1+7^2\right)=2450\)
\(7^{2x}=2450\div50\)
\(7^{2x}=49\)
\(\Rightarrow2x=2\)
\(\Leftrightarrow x=1\)
\(7^{2x}+7^{2x+2}=2450\)
\(\Leftrightarrow7^{2x}+7^{2x}.7^2=2450\)
\(\Leftrightarrow7^{2x}\left(1+7^2\right)=2450\)
\(\Leftrightarrow49^x\left(1+49\right)=2450\)
\(\Leftrightarrow49^x.50=2450\)
\(\Leftrightarrow49^x=2450:50\)
\(\Leftrightarrow49^x=49\)
\(\Rightarrow x=1\)
vậy x=1
a) \(\left(2x+1\right)\left(x-\frac{1}{7}\right)=0\Leftrightarrow\orbr{\begin{cases}2x+1=0\\x-\frac{1}{7}=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-\frac{1}{2}\\x=\frac{1}{7}\end{cases}}.\)
Vậy.....
b) \(7^{2x}+7^{2x+2}=2450\Leftrightarrow7^{2x}\left(1+7^2\right)=2450\Leftrightarrow7^{2x}\cdot50=2450\Leftrightarrow7^{2x}=49\Leftrightarrow2x=2\Leftrightarrow x=1.\)
Vậy....
Học tốt nhé ^3^
a) 2x+2x+3=144
2x . 1 + 2x . 23 = 144
2x . ( 1 + 23 ) = 144
2x . 9 = 144
2x = 144 : 9
2x = 16
2x = 24
=> x = 4
b) 72x + 72x+2 = 2450
72x . 1 + 72x . 72= 2450
72x . ( 1 + 72 ) = 2450
72x . 50 = 2450
72x = 2450 : 50
72x = 49
72x = 72
=> 2x = 2
=> x = 1
Ta có : 2x + 2x + 3 = 144
=> 2x (1 + 23) = 144
=> 2x . 9 = 144
=> 2x = 144 : 9
=> 2x = 16
=> 2x = 24
=> x = 4
\(7^{2x}+7^{2x+2}=2450\)
\(7^{2x}+7^{2x}\cdot7^2=2450\)
\(7^{2x}\cdot\left(1+49\right)=2450\)
\(7^{2x}=2450:50=49\)
\(7^{2x}=7^2\)
\(2x=2\)
\(x=1\)
72x+72x+2=2450
72x+72x.72=2450
72x.(1+72)=2450
72x.50=2450
72x =2450:50
72x =49
72x =72.1
=>x=1
Chuc bn hoc tot
72x + 72x+2 = 2450
1.72x + 72x.72 = 2450
72x.(1+72) = 2450
72x.(1+49) = 2450
72x.50 = 2450
72x = 2450 : 50
72x = 49
72x = 72
2x = 2
x = ... (Tự tính)
Vậy x = ...
\(7^{2x}+7^{2x+2}=2450\)
\(1\times7^{2x}+7^{2x}\times7^2=2450\)
\(7^{2x}\left(1+7^2\right)=2450\)
\(\frac{7^{2x}\left(1+7^2\right)}{1+7^2}=\frac{2450}{1+7^2}\)
\(7^{2x}=\frac{2450}{1+49}\)
\(7^{2x}=\frac{2450}{50}\)
\(7^{2x}=49\)
\(7^{2x}=7^2\)
\(2x=2\)
\(x=2\div2\)
\(x=1\)
Học tốt nha.