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\(\left(x+\frac{1}{5}\right)^2=\frac{26}{25}-\frac{17}{25}\)
\(\left(x+\frac{1}{5}\right)^2=\frac{9}{25}\)
\(\left(x+\frac{1}{5}\right)^2=\left(\frac{3}{5}\right)^2\)
\(x+\frac{1}{5}=\frac{3}{5}\)
\(x=\frac{3}{5}-\frac{1}{5}\)
\(x=\frac{2}{5}\)
vậy \(x=\frac{2}{5}\)
\(\left(x+\frac{1}{5}\right)^2+\frac{17}{25}=\frac{26}{25}\)
\(\left(x+\frac{1}{5}\right)^2=\frac{26}{25}-\frac{17}{25}\)
\(\left(x+\frac{1}{5}\right)^2=\frac{9}{25}\)
\(\left(x+\frac{1}{5}\right)^2=\left(\frac{3}{5}\right)^2\)
\(x+\frac{1}{5}=\frac{3}{5}\)
\(x=\frac{3}{5}-\frac{1}{5}\)
\(x=\frac{2}{5}\)
Ta có : \(\left(x-\frac{1}{2}\right)\left(1+5x\right)=0\)
=> \(\left[{}\begin{matrix}x-\frac{1}{2}=0\\1+5x=0\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}x=\frac{1}{2}\\x=-\frac{1}{5}\end{matrix}\right.\)
Vậy phương trình trên có tập nghiệm là \(S=\left\{\frac{1}{2};-\frac{1}{5}\right\}\)
13-2(x+1)=4x
13=4x+2(x +1)
13=13+0=12+1=11+2=10+3=9+4=8+5=7+6
ma 4xla mot so hang vay x=2 vi 8:4=2
\(\left|x+1\right|>0;\left|x+2\right|>0;\left|x+3\right|>0\Rightarrow\left|x+1\right|+\left|x+2\right|+\left|x+3\right|>0\Rightarrow4x>0\)
4 > 0 => x > 0 => x + 1 + x + 2 + x + 3 = 4x (phá trị uyệt đối vì x dương)
=> 3x + 6 = 4x => 4x - 3x = 6 => x = 6
hình như đề như này ms đúng :
\(\left|x+1\right|+\left|x+2\right|+\left|x+3\right|=4x\)
có :
\(\hept{\begin{cases}\left|x+1\right|\ge0\\\left|x+2\right|\ge0\\\left|x+3\right|\ge0\end{cases}}\Rightarrow4x\ge0\) \(\Rightarrow x\ge\frac{0}{4}=0\)
\(\Rightarrow\hept{\begin{cases}\left|x+1\right|=x+1\\\left|x+2\right|=x+2\\\left|x+3\right|=x+3\end{cases}}\)
\(\Rightarrow x+1+x+2+x+3=4x\)
\(\Rightarrow3x+6=4x\)
\(\Rightarrow6=4x-3x\)
\(\Rightarrow6=x\)
a. \(\frac{3}{4}x-\frac{4}{5}.x=\frac{-2}{3}\)
\(\left(\frac{3}{4}-\frac{4}{5}\right)\) \(.x\) = \(\frac{-2}{3}\)
\(\frac{-1}{20}.x=\frac{-2}{3}\)
\(x=\frac{-2}{3}:\frac{-1}{20}\)
\(1+\left(x-1\right)^2=26\Rightarrow\left(x-1\right)^2=26-1=25\)
\(\Rightarrow\left(x-1\right)^2=5^2\Leftrightarrow x-1=5\Rightarrow x=5+1\)
\(x=6\) Vậy \(x=6\)
1+(x+1)2=26
(x+1)2=26-1
(x+1)2=25
Ta có: 52=25
=> x+1=5 ; x+1=-5
x=5-1 x=-5-1
x=4 x=-6
Vậy: \(x\in\){4;-6}