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\(\frac{x-29}{1970}+\frac{x-27}{1972}+\frac{x-25}{1974}+\frac{x-23}{1976}+\frac{x-1970}{29}+\frac{x-1972}{27}-6=0\)
\(\Leftrightarrow\)\(\frac{x-29}{1970}-1+\frac{x-27}{1972}-1+\frac{x-25}{1974}-1+\frac{x-23}{1976}-1+\frac{x-1970}{29}-1+\frac{x-1972}{27}-1=0\) \(\Leftrightarrow\) \(\frac{x-1999}{1970}+\frac{x-1999}{1972}+\frac{x-1999}{1974}+\frac{x-1999}{1976}+\frac{x-1970}{29}+\frac{x-1999}{27}=0\)
\(\Leftrightarrow\)\(\left(x-1999\right)\left(\frac{1}{1970}+\frac{1}{1972}+\frac{1}{1974}+\frac{1}{1976}+\frac{1}{29}+\frac{1}{27}\right)=0\)
Vì \(\frac{1}{1970}+\frac{1}{1972}+\frac{1}{1974}+\frac{1}{1976}+\frac{1}{29}+\frac{1}{27}\ne0\)
\(\Rightarrow\)\(x-1999=0\)
\(\Leftrightarrow\)\(x=1999\)
Vậy...
Cảm ơn bạn nhiều nha. Lần sau mình có bài j khó nữa nhớ giúp mình vs nhá😊😊😊
x7-26x6+27x5-47x4-77x3+50x2+x-24
=x7-25x6-x6+25x5+2x5-50x4+3x4-75x3-2x3+50x2+x-24
= x6(x+(-25))-x5(x-25)+2x4(x-25)+3x3(x-25)
-2x2(x-25)+x-24
Thay x=25 vào biểu thức :
=>25 -24=1
Vậy C=1
\(A=x^2-2x+9\)
\(=x^2-2x+1+8\)
\(=\left(x-1\right)^2+8\ge8\forall x\)
Dấu '=' xảy ra khi x=1
\(a,=\left(x+2-3x\right)\left(x+2+3x\right)=4\left(1-x\right)\left(2x+1\right)\\ b,=25-\left(x+y\right)^2=\left(5-x-y\right)\left(5+x+y\right)\)
a, x^2-10x=-25
x^2-10x+25=0
(x-5)^2=0
=> x-5=0
x=5
b,Xét các cặp (x,y) tùy theo điều kiện (nếu x,y>0 thì x,y ko thỏa mãn)
\(\Leftrightarrow\left(\dfrac{x-5}{1990}-1\right)+\left(\dfrac{x-15}{1980}-1\right)+\left(\dfrac{x-25}{1970}-1\right)\\ +\left(\dfrac{x-1990}{5}-1\right)+\left(\dfrac{x-1980}{15}-1\right)+\left(\dfrac{x-1970}{25}-1\right)=0\\ \Leftrightarrow\dfrac{x-1995}{1990}+\dfrac{x-1995}{1980}+\dfrac{x-1995}{1970}+\dfrac{x-1995}{5}\\ +\dfrac{n-1995}{15}+\dfrac{n-1995}{25}=0\\ \Rightarrow\left(x-1995\right)\left(\dfrac{1}{1990}+\dfrac{1}{1980}+\dfrac{1}{1970}+\dfrac{1}{5}+\dfrac{1}{15}+\dfrac{1}{25}\right)=0\)
\(\Rightarrow x-1995=0\\ \Rightarrow x=1995\)
1) ĐKXĐ: \(x\notin\left\{1;-2\right\}\)
Ta có: \(\dfrac{2x}{x-1}-\dfrac{1}{x+2}=2\)
\(\Leftrightarrow\dfrac{2x\left(x+2\right)}{\left(x-1\right)\left(x+2\right)}-\dfrac{x-1}{\left(x-1\right)\left(x+2\right)}=\dfrac{2\left(x-1\right)\left(x+2\right)}{\left(x-1\right)\left(x+2\right)}\)
Suy ra: \(2x^2+4x-x+1=2\left(x^2+x-2\right)\)
\(\Leftrightarrow2x^2+3x+1=2x^2+2x-4\)
\(\Leftrightarrow2x^2+3x+1-2x^2-2x+4=0\)
\(\Leftrightarrow x+5=0\)
hay x=-5(thỏa ĐK)
Vậy: S={-5}
2) ĐKXĐ: \(x\notin\left\{5;-5\right\}\)
Ta có: \(\dfrac{x}{x^2-25}-\dfrac{1-x}{x-5}=\dfrac{1}{x+5}\)
\(\Leftrightarrow\dfrac{x}{\left(x-5\right)\left(x+5\right)}+\dfrac{\left(x-1\right)\left(x+5\right)}{\left(x-5\right)\left(x+5\right)}=\dfrac{x-5}{\left(x+5\right)\left(x-5\right)}\)
Suy ra: \(x+x^2+5x-x-5=x-5\)
\(\Leftrightarrow x^2+5x-5-x+5=0\)
\(\Leftrightarrow x^2+4x=0\)
\(\Leftrightarrow x\left(x+4\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x+4=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\left(nhận\right)\\x=-4\left(nhận\right)\end{matrix}\right.\)
Vậy: S={0;-4}
a/ ĐKXĐ : \(x\ne1;-2\)
\(\dfrac{2x}{x-1}-\dfrac{1}{x+2}=2\)
\(\Leftrightarrow\dfrac{2x\left(x+2\right)-\left(x-1\right)}{\left(x-1\right)\left(x+2\right)}=2\)
\(\Leftrightarrow2x^2+3x-x+1=2x^2+4x-2x-4\)
\(\Leftrightarrow2x+1=2x-4\)
\(\Leftrightarrow1=-4\left(loại\right)\)
Vậy...
b/ĐKXĐ : \(x\ne\pm5\)
\(\dfrac{x}{x^2-25}-\dfrac{1-x}{x-5}=\dfrac{1}{x+5}\)
\(\Leftrightarrow\dfrac{x}{\left(x-5\right)\left(x+5\right)}+\dfrac{\left(x-1\right)\left(x+5\right)}{\left(x+5\right)\left(x-5\right)}=\dfrac{x-5}{\left(x+5\right)\left(x-5\right)}\)
\(\Leftrightarrow x+x^2+5x-x-5=x-5\)
\(\Leftrightarrow x^2+4x=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-4\end{matrix}\right.\)
Vậy...
khó quá ahihi
, là nhân à
nếu là nhân thì mình biết làm