\(\left(3x-1\right)^2=\left(x-1\right)^2\)
\(\Rightarrow9x^2-6x+1=x^2-2x+1\)
\(\Rightarrow9x^2-6x+1-x^2+2x-1=0\)
\(\Rightarrow8x^2-4x=0\)
\(\Rightarrow4x\left(2x-1\right)=0\)
\(\Rightarrow x\left(2x-1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\2x-1=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{1}{2}\end{matrix}\right.\)
tìm x biết
a) \(x^2+5x=0\)
b)3x(x-1)=1-x
tìm x biết:
a)x2 + 3x = 0 b) x3 – 4x = 0
c) 5x(x-1) = x-1 d) 2(x+5) - x2-5x = 0
e) 2x(x-5)-x(3+2x)=26 f) 5x.(x – 2012) – x + 2012 = 0
1.tìm GTNN của
A=x2-4x+1
B=x2-5x-2
C=-25x2-x+1
D=2x2+3x+1
E=3x2+12x-1
2.Tìm x biết
a,(4x-3)*(4x+3)-15*(x-1)*(x+1)-(x+6)-3x=1
b,(5x+1)*(5x-1)-25*(x+3)*(x-1)=4
Tìm x, biết:
a) 7x2 - 28 = 0
b) \(\dfrac{2}{3}\)x(x2 - 4) = 0
c) 2x(3x - 5) - (5 - 3x) = 0
d) (2x - 1)2 - 25 = 0
Tìm x biết 2x(x-2)+3x-6=0
Bài 1: Rút gọn biểu thức:
A = 2x3 + 3(x -1)(x +1) – 5x(x+1)
B = (5-2x)3 – (3x +5)(5-3x)
C = (3x +1)2 – (2x -1)2
D = (2x+1)3 + (3-x)2– 2(2x+1)(3 - x)
E = (x-2)3 – x(x+1)(x-1) +6x(x-3)
F = (x-1)3 -3(1-x)(x+1) – (x2 +x +1)(x-1) -3x
Thực hiện phép tính
\(\left(\dfrac{x+2}{3x}+\dfrac{2}{x+1}-3\right):\dfrac{2-4x}{x+1}.\dfrac{3x}{x^2-3x-1}\)
rút gọn các biểu thức sau :
a, \(\left(\dfrac{3x}{1-3x}+\dfrac{2x}{3x+1}\right):\dfrac{6x^2+10x}{9x^2-6x+1}\)
b, \(\left(\dfrac{9}{x^3-9x}+\dfrac{1}{x+3}\right):\left(\dfrac{x-3}{x^2+3x}-\dfrac{x}{3x+9}\right)\)
c, \(\dfrac{1-x^2}{x}\left(\dfrac{x^2}{x+3}-1\right)+\dfrac{3x^2-14x+3x}{x^2+3x}\)
1)x2-6x+5
2)a: 3x(2x3-3x2+5x-1)
b: (x+3)(x-2)
C: x+3/x-1+2x+5/x-1+14-3x/1-x
d: 3x/2y-2x+3y/x+y+3y(3y-x)/2(x2-y2)
