(3 + x)(5x - 2) = 8(3x - 1) + 2(x + 1)
\(\Leftrightarrow15x-6+5x^2-2x=24x-8+2x+2\)
\(\Leftrightarrow5x^2+15x-2x-24x-2x=-8+2+6\)
\(\Leftrightarrow5x^2-13x=0\)
\(\Leftrightarrow x\left(5x-13\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\5x-13=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=\frac{13}{5}\end{matrix}\right.\)
Giải PT sau:
a, 3x - 7 = 0
b, 8 - 5x = 0
c, 3x - 2 = 5x + 8
d, \(\dfrac{3x-2}{3}\) = \(\dfrac{1-x}{2}\)
e, ( 5x + 1)(x - 3) = 0
f, (x + 1)(2x - 3) = 0
g, 4x(x + 3) - 5(x + 3) = 0
h, 8(x - 6) - 2x(6 - x) = 0
i, \(\dfrac{2}{x-1}\) + \(\dfrac{1}{x}\) = \(\dfrac{2x+5}{x^2-x}\)
k, \(\dfrac{3}{x+2}\) - \(\dfrac{2}{x-2}\) = \(\dfrac{2-x}{x^2-4}\)
m, \(\dfrac{3}{x}\) - \(\dfrac{2}{x-3}\) = \(\dfrac{4-x}{x^2-3}\)
n,\(\dfrac{3}{2x+10}\)+ \(\dfrac{2x}{x^2-25}\) = \(\dfrac{3}{x-5}\)
u, \(\dfrac{2}{x+3}\) - \(\dfrac{3}{x-2}\) = \(\dfrac{x+4}{\left(x+3\right)\left(x-2\right)}\)
bài 3
a. (6x+1)^2+(6x-1)^2-2(1+6x)(6x-1)
b. x(2x^2-3)-x^2(5x+1)+x^2
c. 3x(x-2)-5x(1-x)-8(x^2-3)
d. 3(2^2+1)(2^4+1)(2^8+1)(2^16+1)
d) (5x+3) ( 4x-1) +(10x-7) (-2x+3) =27
e)(8x-5) (3x+2) -(12x+7) (2x-1)=17
f) (5x+9) (6x-1) -(2x-3)( 15z+1) = -190
g) 6x(5x+3) + 3x(1-10x) =7
h) (3x-3) (5 -21x) +(7x+4)(9x-5) =44\
i) (x+1)(x+2)(x-5)-x2 (x+8)=27
1. (4x-10).(24+5x)=0
2 .(2x-5).(3x-2)=0
3. (2x-1).(3x+1)=0
4. x.(\(x\)2-1)=0
5.(5x+3).(\(x^2\)+4).(x-1)=0
6.(x-1).(x+2).(x+3)=0
7.(x-1).(x+5).(-3x+8)=0
I : Phân tích đa thức thành nhân tử
1) x^4-3x^2-x+3
2) 3x+3y-x^2-2xy-y^2
3) x^4-x
4) x^2+5x+4
5) 4x^2+4x-8
6)x^2+x-42
7) 5x^2-3x-2
8) x^2-4x-1
9) x^2-7xy+12y^2
help me
bài 1 giải phương trình
\(\frac{3x+2}{3x-2}-\frac{6}{2+3x}=\frac{9x^2}{9x^2-4}\)
\(\frac{3}{5x-1}+\frac{3}{3-5x}=\frac{4}{\left(1-5x\right)\left(5x-3\right)}\)
\(\frac{3}{1-4x}=\frac{2}{4x+1}-\frac{8+6x}{16x^2-1}\)
\(\frac{5-x}{4x^2-8x}+\frac{7}{8x}=\frac{x-1}{2x\left(x-2\right)}+\frac{1}{8x-16}\)
\(\frac{x+1}{x^2+x+1}-\frac{x-1}{x^2-x+1}=\frac{3}{x\left(x^4+x^2+1\right)}\)
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.
Tìm x, biết:
(4x-1)2-(3x+2)(3x-2)= (7x-1)(x+2)+(2x+1)2-(4x2+7)
(5x-1)(x+1)-2(x-3)2= (x+2)(3x-1)-(x+4)2+(x2-x)
(-x+5)(x-2)+(x-7)(x+7)= (3x+1)2-(3x-2)(3x+2)
(2x+3)2-(5x-4)(5x+4)= (x+5)2-(3x-1)(7x+2)-(x2-1)
(1-3x)2-(x-2)(9x+1)= (3x-4)(3x+4)-9(x+3)2
Giải các phương trình sau
a) |x-2| = 3
b) |x+1| = |2x+3|
c) |3x| = x+6
d) |x-5| = 13-2x
e) |5x-1| = x-12
f) |-2x| = 3x+4
g) |2x-1| = 6-x
h) |-1+5x| = 8-x
i) |-2x+1| = x+3
k) |-2-5x| = -4x+7
