vẽ 2 đường thẳng cắt nhau sao cho trong 1 goc tao thanh co 1 cap goc doi dinh co tong so do = 130 do tinh so do moi goc
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\(x^2+6x+11\)
\(=\left(x^2+6x+9\right)+2\)
\(=\left(x+3\right)^2+2\)\(>0\)
Vậy pt vô nghiệm
\(x^2+6x+11=\left(x^2+2.x.3+3^2\right)+2=\left(x+3\right)^2+2\)
Ta có: \(\left(x+3\right)^2\ge0\forall x\)
\(\Rightarrow\left(x+3\right)^2+2\ge2>0\forall x\)
\(\Rightarrow\)đa thức \(x^2+6x+11\) vô nghiệm
đpcm
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đề sai 1/x(x + 1) phải là 2/x(x + 1)
\(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{2}{x\left(x+1\right)}=\frac{1010}{1012}\)
\(\Rightarrow\frac{2}{6}+\frac{2}{12}+\frac{2}{20}+...+\frac{2}{x\left(x+1\right)}=\frac{1010}{1012}\)
\(\Rightarrow2\left(\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+...+\frac{1}{x\left(x+1\right)}\right)=\frac{1010}{1012}\)
\(\Rightarrow2\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{x}-\frac{1}{x+1}\right)=\frac{1010}{1012}\)
\(\Rightarrow2\left(\frac{1}{2}-\frac{1}{x+1}\right)=\frac{1010}{1012}\)
\(\Rightarrow\frac{1}{2}-\frac{1}{x+1}=\frac{505}{1012}\)
\(\Rightarrow\frac{1}{x+1}=\frac{1}{1012}\)
\(\Rightarrow x+1=1012\)
\(\Rightarrow x=1011\)
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(x - 1) (x + 1) - (x + 1) (x + 2) = - 19
<=> x² - 1 - (x² + 3x + 2) = - 19
<=> x² - 1 - x² - 3x - 2 = -19
<=> - 3x = -16
<=> x = 16/3
vậy x = 16/3
(2x - 1) .3 - (x + 3). (-2) = -x +1
<=> (6x - 3) - (-2x - 6 ) = 1 - x
<=> 6x - 3 + 2x + 6 = 1 - x
<=> 8x + 3 = 1 - x
<=> 9x = - 2
<=> x = - 2/9
vậy x = - 2/9