\( {\left( {x - 2} \right)^2} + {\left( {3 - 2x} \right)^2} - \left( {4x - 4} \right)\left( {x - 5} \right) = {\left( {x + 3} \right)^2}\\ \Leftrightarrow {x^2} - 4x + 4 + 9 - 12x + 4{x^2} - 3 - 4{x^2} + 24x - 20 = {x^2} + 6x + 9\\ \Leftrightarrow 8x - 16 = 6x\\ \Leftrightarrow 2x = 16\\ \Leftrightarrow x = 8 \)
rút gọn biểu thức: (27^10-5.81^4.3^12+4.9^8.3^8):41.3^24
giải phương trình: 4x^2-9-(2x+3)(2x-1)=0
x^3+x^2-4x=4
x^2(x^2+4)-x^2-4=0
(3x-3)^2=(x+5)^2
(2x-3)^2==(x+5)^2
x^2(x-1)-(4x^2+8x-4)=0
Phân tích các đa thức sau thành nhân tử :
a, x^2 + 4x + 3
b,16x - 5x^2 - 3
c, 2x^2 + 7x + 5
d, 2x^2 + 3x - 5
e,x^3 - 3x^2 + 1 - 3x
f, x^2 - 4x - 5
g, ( a^2 + 1 )^2 - 4a^2
h, x^3 - 3x^2 - 4x + 12
i, x^4 + x^3 + x + 1
k, x^4 - x^3 - x^2 + 1
l, ( 2x + 1 )^2 - ( x - 1 )^2
m,x^4 + 4x^2 - 5
Giải phương trình:
1. (x - 5)2 + (x + 3)2 = 2(x - 4)(x + 4) - 5x + 7
2. (x + 3)(x - 2) - 2(x + 1)2 = (x - 3)2 - 2x2 + 4x
3. (x + 1)3 - (x + 2)(x - 4) = (x - 2)(x2 + 2x + 4) + 2x2
4. (x - 2)3 + (x - 5)(x + 5) = x(x2 - 5x) - 7x + 3
5. (x + 4)(x2 - 4x + 16) - x(x - 4)2 = 8(x - 3)(x + 3)
Tìm x
a) x^3 - 16x = 0
b) x^4 - 2x^3 + 10x^2 - 20x = 0
c) (2x - 3 )^2 = (x+5)^2
d) x^2(x-1) - 4x^2 + 8x - 4 = 0
e) x^2 + 4x + 3 = 0
f) x^3 - x^2 = 4x^2 - 8x + 4
g) 2(x+3) - x^2 - 3x = 0
Bµi 5: Gi¶i PT sau.
\(a,\frac{5x-2}{2-2x}+\frac{2x-1}{2}+\frac{x^2+x-3}{1-x}=1\)
b,\(\frac{6x-1}{2-x}+\frac{9x+4}{x+2}=\frac{3x^2-2x+1}{x^2-4}\)
\(c,\frac{1}{x-1}+\frac{2x^2-5}{x^3-1}=\frac{4}{x^2+x+1}\)
d) (x2 + 4x + 8)2 + 3x(x2 + 4x + 8) + 2x2 = 0
e) x4 + 2x3 + 4x2 + 2x + 1 = 0
\(f,\frac{3x-1}{x-1}-\frac{2x+5}{x+3}+\frac{4}{x^2+2x-3}=1\)
\(\frac{6}{x^2-1}+5=\frac{8x-1}{4x+4}-\frac{12x-1}{4-4x}\)
\(\frac{x+4}{x^2-3x+2}-\frac{x+1}{x^2-4x+3}=\frac{2x+5}{x^2-4x+3}\)
2.tìm x
a)3x(12x-4)-9x(4x-3)=30
b)4x(7x-5)-7x(4x-2)=-12
c)3(2x-3)+2(2-x)=-3
d)2x(\(x^2-2\))+x\(^2\left(1-2x\right)-x^2=-12\)
Tìm x
(x+5)2-(x+2)(x-2)=17
(4x-3)(3-4x)+4(2x-3)2=-23
Tìm x
( 2x + 3 )3 - ( x + 2 )2 + ( x + 5 )( x - 4 ) = ( 2x - 1)( 4x2 + 2x + 1 ) + 18x( 2x + 3 )
a) -3x(x+2)²+(x+3)(x-1)(x+1)-(2x-5)²
b) 2(x-3)(x+3)(x+2)-(x-1)(x²-3)-5x(x+4)²-(x-5)²
c) 2x (x - 4)²(x + 5)(x - 2)(x + 2)+2(x + 5)² - (x - 1)²
d) (x + 5)² - 4 x (2 x + 3)²(2 x - 1)(x + 3)(x- 3)
e) -2 x( 3 x + 2)(3 x -2)+ 5( x + 2)²- (x -1) (2 x - 1)(2x +1)
f) (7 x - 8)(7 x + 8) - 10(2x + 3)² + 5 x (3x - 2)² - 4 (x - 5)².
g) (x²- 3)(x² + 3)- 5x²(x + 1) -(x² - 3x) (x² - 2x) + 4x(x + 2)².
