giải phương trình sau
2, (x+3)(x+5)+(x+3)(3x-4)=0
3, (x+6)(3x-1)+x+6=0
4, (x+4)(5x+9)-x-4=0
5, (1-x)(5x+3)=(3x-7)(x-1)
6, 2x(2x-3)=(3-2x)(2-5x)
Bài 3 Giải Phương Trình
a) 4x-2 = 1/x-1 - 5/x^2- x
b) -x^2+12x+4/x^2+3x-4 = 12/x+4 + 12/3x-3
c) 1/x-1 + 2/x^2-5 = 4/x^2+x+1
d) 1/2x^2+5-7 - 2/x-1 = 3/2x^2-5x-7
Câu 3: Giải các phương trình sau bằng cách đưa về dạng ax+b=0
1. a, \(\frac{5x-2}{3}=\frac{5-3x}{2}\); b, \(\frac{10x+3}{12}=1+\frac{6+8x}{9}\)
c, \(2\left(x+\frac{3}{5}\right)=5-\left(\frac{13}{5}+x\right)\); d, \(\frac{7}{8}x-5\left(x-9\right)=\frac{20x+1,5}{6}\)
e, \(\frac{7x-1}{6}+2x=\frac{16-x}{5}\); f, 4 (0,5-1,5x)=\(\frac{5x-6}{3}\)
g, \(\frac{3x+2}{2}-\frac{3x+1}{6}=\frac{5}{3}+2x\); h, \(\frac{x+4}{5}.x+4=\frac{x}{3}-\frac{x-2}{2}\)
i, \(\frac{4x+3}{5}-\frac{6x-2}{7}=\frac{5x+4}{3}+3\); k, \(\frac{5x+2}{6}-\frac{8x-1}{3}=\frac{4x+2}{5}-5\)
m, \(\frac{2x-1}{5}-\frac{x-2}{3}=\frac{x+7}{15}\); n, \(\frac{1}{4}\left(x+3\right)=3-\frac{1}{2}\left(x+1\right).\frac{1}{3}\left(x+2\right)\)
p, \(\frac{x}{3}-\frac{2x+1}{6}=\frac{x}{6}-x\); q, \(\frac{2+x}{5}-0,5x=\frac{1-2x}{4}+0,25\)
r, \(\frac{3x-11}{11}-\frac{x}{3}=\frac{3x-5}{7}-\frac{5x-3}{9}\); s, \(\frac{9x-0,7}{4}-\frac{5x-1,5}{7}=\frac{7x-1,1}{6}-\frac{5\left(0,4-2x\right)}{6}\)
t, \(\frac{2x-8}{6}.\frac{3x+1}{4}=\frac{9x-2}{8}+\frac{3x-1}{12}\); u, \(\frac{x+5}{4}-\frac{2x-3}{3}=\frac{6x-1}{3}+\frac{2x-1}{12}\)
v, \(\frac{5x-1}{10}+\frac{2x+3}{6}=\frac{x-8}{15}-\frac{x}{30}\); w, \(\frac{2x-\frac{4-3x}{5}}{15}=\frac{7x\frac{x-3}{2}}{5}-x+1\)
giải các phương trình sau:
a)5-(x-6)=4(3-2x) b)\(\dfrac{3x+2}{2}-\dfrac{3x+1}{6}=2x+\dfrac{5}{3}\)
c)\(\dfrac{5x+2}{6}-\dfrac{8x-1}{3}=\dfrac{4x+2}{5}-5\) e)\(x-\dfrac{2x-5}{5}+\dfrac{x+8}{6}=7-\dfrac{x-1}{3}\)
d)x2-5x+6=0 f)(x2-4)-(x-2)(3-2x)=0 g)(2x+5)2=(x+2)2
Câu 3. Giải các phương trình sau bằng cách đưa về dạng ax+b= 0
1. a, 3x-2=2x-3; b, 3-4y+24+6y=y+27+3y
c, 7-2x=22-3x; d, 8x-3=5x+12
e, x-12+4x=25+2x-1; f, x+2x+3x-19=3x+5
g, 11+8x-3=5x-3+x; h, 4-2x+15=9x+4-2
2. a, 5-(x-6)=4(3-2); b, 2x (x+2)2-8x2=2(x-2) (x2+2x-4)
c, 7-(2x+4)=-(x+4); d, (x-2)3+(3x-1) (3x+1)=(x+1)3
e, (x+1) (2x-3)=(2x-1) (x+5); f, (x-1)3-x(x+1)2=5x (2-x)-11 (x+2)
g, (x-1)-(2x-1)=9-x; h, (x-3) (x+4)-2(3x-2)=(x-4)2
i, x(x+3)2-3x=(x+2)3+1; j, (x+1) (x2-x+1)-2x=x(x+1) (x-1)
3. a, 1,2-(x-0,8)=-2(0,9+x); b, 3,6-0,5 (2x+1)=x-0,25 (2-4x)
c, 2,3x-2 (0,7+2x)= 3,6-1,7x; d, 0,1-2 (0,5t-0,1)=2 (t-2,5)-0,7
e, 3+2,25x+2,6= 2x+5+0,4x; f, 5x+3,48-2,35x= 5,38-2,9x+10,42
Giải các phương trình sau:
a) 1/x-2 - 1/x2 - 4 = 4/5
b) 1/x+2 + 1/(x+2)2 = 22
c) 3/2x-16 + 3x-20/x-8 + 1/8 = 13x-10x2/3x-24
d) 2 + 2x-8x/2x2+8x + 2x2+7x+23/2x2+7x-4 = 2x+5/2x-1
e) 1/2-x + 14/x2-9 = x-4/x+3 + 7/3+x
g) 3/2x+1 = 6/2x+3 + 8/4x2+8x+3
Bài 2. Giải các phương trình sau
a, \(\frac{x}{3}-\frac{5x}{6}-\frac{15x}{12}=\frac{x}{4}-5\)
b, \(\frac{8x-3}{4}-\frac{3x-2}{2}=\frac{2x-1}{2}+\frac{x+3}{4}\)
c, \(\frac{x-1}{2}-\frac{x+1}{15}-\frac{2x-13}{6}=0\)
d,\(\frac{3\left(3-x\right)}{8}+\frac{2\left(5-x\right)}{3}=\frac{1-x}{2}-2\)
e, \(\frac{3\left(5x-2\right)}{4}-2=\frac{7x}{3}-5\left(x-7\right)\)
f, \(\frac{x+5}{2}+\frac{3-2x}{4}=x-\frac{7+x}{6}\)
g, \(\frac{x-3}{11}+\frac{x+1}{3}=\frac{x+7}{9}-1\)
h, \(\frac{3x-0,4}{2}+\frac{1,5-2x}{3}=\frac{x+0,5}{5}\)
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