Giup minh voi : 2/3-1/3(x-3/2)-1/2(2x+1)=5
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Bài 1:
\(x^3-x^2-x+1=0\)
\(\Leftrightarrow x^2\left(x-1\right)-\left(x-1\right)=0\)
\(\Leftrightarrow\left(x^2-1\right)\left(x-1\right)=0\)
\(\Leftrightarrow\left(x-1\right)^2\left(x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=0\\x+1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-1\end{matrix}\right.\)
Vậy x = 1 hoặc x = -1
Bài 2:
\(2x-2x^2-1=-2\left(x^2-x+\dfrac{1}{2}\right)\)
\(=-2\left(x^2-2.x.\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{4}\right)\)
\(=-2\left(x^2-\dfrac{1}{2}\right)^2-\dfrac{1}{2}< 0\)
\(\Rightarrowđpcm\)

( x + 1 )2 +3( x - 5)(x+ 5)-( 2x-1)2
=x2 + 2x + 1 + 3(x2 - 25) - 4x2 - 4x + 1
= x2 + 2x + 1 + 3x2 - 75 - 4x2 - 4x + 1
= -2x - 73
k cho mk nhe!!
( x + 1 )2 +3( x - 5)(x+ 5)-( 2x-1)2
=x2+2x+1+3x2-75-4x2+4x-1
=(x2+3x2-4x2)+(2x+4x)-(1-1)-75
=6x-75
Vậy ms đúng bn kia sai r`

\(\left[\frac{-2}{5}x^3.\left(2x-1\right)^m+\frac{2}{5}x^{m+3}\right]:\left(\frac{-2}{5}x^3\right)\)
\(=\left[\frac{2}{5}x^3\left(2x+1\right)^m+\frac{2}{5}x^3.\left(\frac{2}{5}\right)^m\right]:\left(\frac{-2}{5}x^3\right)\)
\(=\left\{\frac{2}{5}x^3.\left[\left(2x+1\right)^m+\left(\frac{2}{5}\right)^m\right]\right\}:\left(\frac{-2}{5}x^3\right)\)
\(=\left\{\frac{2}{5}x^3.\left[2x+\frac{7}{5}\right]^m\right\}:\frac{-2}{5}x^3\)
\(=-\left(2x+\frac{7}{5}\right)^m\)
đến đây thì mình chịu

a. 3^x=1-x^2
x=0 la nghiem
x>=1; VT>=3 VP<=0 vo nghiem
b. (de bai thieu n khac 0 vi neu n=0 dung voi moi x)
3x-14=1=> x=5
c.(5^2x5^x+1)=5^4
5^x+1=5^2=> x=1

\(\left(x+1\right)^2-3\left(x+1\right)=\left(x+1\right)\left(x+1-3\right)=\left(x+1\right)\left(x-2\right)\)
\(2x\left(x-2\right)-\left(x-2\right)^2=\left(x-2\right)\left[2x-\left(x-2\right)\right]=\left(x-2\right)\left(2x-x+2\right)=\left(x-2\right)\left(x+2\right)\)
\(4x^2-20xy+25y^2=\left(2x\right)^2-2.2x.5y+\left(5y\right)^2=\left(2x-5y\right)^2\)
\(x^2+3x-x-3=x\left(x+3\right)-\left(x+3\right)=\left(x-1\right)\left(x+3\right)\)
\(x^2-xy+x-y=x\left(x-y\right)+\left(x-y\right)=\left(x-y\right)\left(x+1\right)\)
\(2y\left(x+2\right)-3x-6=2y\left(x+2\right)-3\left(x+2\right)=\left(x+2\right)\left(2y-3\right)\)
2/3-1/3(x-3/2)-1/2(2x+1)=5
2/3-1/3x-1/3.(-3/2)-1/2.2x-1/2.1=5
2/3-1/3x+1/2-x-1/2=5
-1/3x-x+2/3+1/2-1/2=5
-4/3x+2/3=5
-4/3x=5-2/3
-4/3x=13/3
=>x=13/3:(-4/3)
x=-13/4
+ trieu dang: Pạn làm nhanh quá ó
Thiếu vài Bước nha