\(\left(3x+1\right)\left(x-2\right)=\left(x-2\right)\left(x-1\right)\\ \Leftrightarrow\left(x-2\right)\left(3x+1-x+1\right)=0\\ \Leftrightarrow\left(x-2\right)\left(2x+2\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=2\\x=-1\end{matrix}\right.\)
giải pt
a 2(x+3)(x-4)=(2x-1)(x+2)-27
b (3x+2)(x-1)-3(x+1)(x-2)=4
c (x+2)(x^2 -2x+4)-x(x-3)(x+3)=26
d (3x+2)(3x-2)-(3x-4)^2=28
e 5(x+3)^2-5(x-4)(x+8)=3x
f 2x(x+2)^2-8x^2=2(x-2)(x^2+2x+4)
g (2x-1)(4x^2+2x+1)-4x(2x^2-3)=23
h x(x-2)(x+2)-(x-3)(x^2+3x+9)+1=0
i x(x^2+x+1)-(x-1)(x+1)x=x^2+2
a. 3x⁴ - x² - 234 = 0 b. x/1-x = 2x+3/(x-1)(x+2) c. x²(x+1)-3x=3x²-2x-2 d. (x+4)(x+5)(x+7)(x+8)=4
` Y = ( 3x^2 - 3x - 3 )/(x^2+x-2) - (x+1)/(x+2) + (x-2)/(x).( (1)/(1-x) - 1)`
a) Rút gọn Y ( Đáp số Y = ` (x-2)/(x+2) ` )
b) Tìm x để Y = 2
c) Tìm x ∈ Z để Y ∈ Z
a)\(\sqrt{3x-1}=2\) c) \(\sqrt{x^2-4x+4}=3x-1\)
b)\(\sqrt{x+}=2-x\) d)\(\sqrt{x^2+4}=\sqrt{3x+8}\)
giải pt
a, 2x^3++3x^2-8x-12=0
b, x^3-4x^2-x+4=0
c,x^3-x^2-x-2=0
d,x^4-3x^3+3x^2-x=0
e,(x+1)(x^2-2x+3)=x^3+1
g,x^3+3x^2+3x+1=4x+4
\(A=\sqrt{x-1}.\sqrt{x^2-3x+2}\)\(A=\sqrt{x-1}.\sqrt{x^2}-3x+2\)\(\)Điều kiện xác định của\(A=\sqrt{x-1}.\sqrt{x^2-3x+2}\)
1/ P=căn 1+1/a1+căn1+1/a^2+...+căn 1+1/an
2/căn 3 (x^3-3x+(x^2-1) căn x^2-4)/2 - căn x^3-3x(x^2-1) căn x^2-4)/2
Tai x =căn 3 2005
Chứng minh đẳng thức
a. \(\left[\dfrac{2}{3x}-\dfrac{2}{x+1}1.\left(\dfrac{x+1}{3x}-x-1\right)\right]:\dfrac{x-1}{x}=\dfrac{2x}{x-1}\)
b. \(\left(\dfrac{1}{a-\sqrt{a}}+\dfrac{1}{\sqrt{a}-1}\right):\dfrac{\sqrt{a}+1}{a-2\sqrt{a}+1}=\dfrac{\sqrt{a}-1}{\sqrt{a}}\)
a,\(\frac{3}{x}+\frac{1}{x+3}+\frac{3}{x+6}+\frac{1}{x+7}=\frac{1}{1-x}\)
b, \(\frac{1}{x-5}+\frac{1}{x-2}+\frac{1}{x-1}+\frac{1}{x}+\frac{1}{x+3}=\frac{3x-3}{4}\)
c,\(\frac{1}{x-3}+\frac{1}{3x+1}+\frac{10x-13}{4x-6}=\frac{1}{x+1}+\frac{1}{2x-1}+\frac{1}{3x+7}\)
d,\(\frac{x^2+x+1}{2x-1}\left(\frac{3x^2-x+5}{4x-2}-3\right)=8\)
e,\(\frac{2x^2-3}{3x-1}\left(2x-\frac{7+4x}{3x-1}\right)=2\)
f,\(\frac{x\left(3x-1\right)\left(3x^2+1\right)\left(6x^2-3x-1\right)}{\left(x+1\right)^3}=\frac{1}{2}\)
g, \(x\left(x^2+2\right)\left(x^2+2x+8+\frac{12}{x-2}\right)=3\left(x-2\right)\)
Rút gọn các biểu thức sau :
A = \(2x^2\left(-3x^3+2x^2+x-1\right)+2x\left(x^2-3x+1\right)\)
B = \(2x:\dfrac{1}{2}x+x^2\)
C = \(\left[1:\left(1+x\right)+2x:\left(1-x^2\right)\right]:\left(\dfrac{1}{x}-1\right)\)
D = \(\dfrac{x^2-y^2}{x+y}.\dfrac{\left(x+y\right)^2}{x}+\dfrac{y^2}{x+y}.\dfrac{\left(x+y\right)^2}{x}\)
E = \(\dfrac{\left|x-3\right|}{x^2-9}.\left(x^2+6x+9\right)\)
F = \(\dfrac{\sqrt{x}}{\sqrt{x}-5}-\dfrac{10\sqrt{x}}{x-25}-\dfrac{5}{\sqrt{x}+5}\)