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 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
quy đồng các phân thức sau
a,\(\dfrac{x+1}{x-1};\dfrac{x-1}{x+1};\dfrac{4}{1-x^2}\)
b,\(\dfrac{x^3}{x^3-3x^2y+3xy^2-y^3};\dfrac{x}{y^2xy}\)
c,\(\dfrac{4x}{x-2};\dfrac{3x}{x-2};\dfrac{12x}{x^2-4}\)
d,\(\dfrac{7}{x};\dfrac{x}{x+6};\dfrac{36}{x^2+6x}\)
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)
Giải phương trình:
1) (x-1)2 + (x+3)2 = 2(x-2).(x+1)+38
2) 5(x2-2x-1) + 2.(3x-2) =5(x+1)2
3) (x-3)2 - 2.(x-1) = x.(x-2)2 - 5x2
4)x.(x+2)2 - 3x = ( x+2 )2 + 1 - 2x2
5) \(\frac{x-2}{7}\) + \(\frac{x-1}{8}\) = \(\frac{x-4}{5}+\frac{x-3}{6}\)
6) \(\frac{x+1}{15}+\frac{x+2}{14}=\frac{x+3}{13}+\frac{x+4}{12}\)
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, \(\frac{3x-0,4}{2}+\frac{1,5-2x}{3}=\frac{x+0,5}{5}\)
RÚT GỌN BIỂU THỨC SAU:
a, 2x(x+3)-2(x+2)²
b, 2(x+2)(x-2)-(2x-3)(x-1)
c,(x+1)²-2(x²+6)-(x+1)(x-1)
d,(2x+1)²(2x+1)(x-1)+(x-1)²
e, 15xy²/27x²y
f,4xy³(x-2y)/12x²y(2y-x)²
g,20x-45/4x²+12x+9
h,(x-5)²-9/x²-4x+4
i,x40 +x^30+x^20+x^10+1/x^45+x^40+x^30+...+x^5+1
Thực hiện phép tính:
a) 4x+13/5x(x-7) - x-48/5x(7-x)
b) 2x2-4x+2/4x+4 . x2-1/(x-1)3
c) x2+1/x+1 + 2x/x+1
d) x2+1/x-1 - 2x/x-1
Cảm ơn mng !!!