Giải phương trình:
a) \(\dfrac{x+4}{5}\) - x + 4 = \(\dfrac{x}{3}\) - \(\dfrac{x-2}{2}\)
b) \(\dfrac{4-5x}{6}\) = \(\dfrac{2\left(-x+1\right)}{2}\)
c) \(\dfrac{-\left(x-3\right)}{2}\) - 2 = \(\dfrac{5\left(x+2\right)}{4}\)
d) \(\dfrac{7-3x}{2}\) - \(\dfrac{5+x}{5}\) = 1
Giải các bất phương trình sau:
a) 2(3x + 1) - 4(5 - 2x) > 2(4x - 3) - 6
b) 9x2 - 3(10x - 1) < (3x - 5)2 - 21
c) \(\dfrac{x-1}{2}+\dfrac{x-2}{3}+\dfrac{x-3}{4}>\dfrac{x-4}{5}+\dfrac{x-5}{6}\)
Bài 1: Giải các phương trình sau:
Câu 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 – 2x
2. a) 5 – (x – 6) = 4(3 – 2x) 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
4.a) (5x-2)/3=(5-3x)/2 b)(10x+3)/12=1+((6+8x)/9)
c)2(x+3/5)=5-(13/5+x) d)7/8x-5(x-9)=(20x+1,5)/6
e)(7x-1)/6+2x=(16-x)/5 f)4(0,5-1,5x)=-(5x-6)/3
g)(3x+2)/2-(3x+1)/6=5/3+2x h)(x+4)/5-(x+4)=x/3-(x-2)/2
i) (4x+3)/5-(6x-2)/7=(5x+4)/3+3 k)(5x+2)/6-(8x-1)/3=(4x+2)/5-5
m)(2x-1)/5-(x-2)/3=(x+7)/15 n)1/4(x+3)=3-1/2(x+1)-1/3(x+2)
Bài 2 Tìm giá trị của k sao cho:
a. Phương trình: 2x + k = x – 1 có nghiệm x = – 2.
b. Phương trình: (2x + 1)(9x + 2k) – 5(x + 2) = 40 có nghiệm x = 2
c. Phương trình: 2(2x + 1) + 18 = 3(x + 2)(2x + k) có nghiệm x = 1
Giải các phương trình sau bằng cách đưa về dạng ax + b = 0 :
1. a) 5 - (x - 6) = 4(3 - 2x)
b) 2x(x + 2)^2 - 8x^2 = 2(x - 2)( x^2 + 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)(x^2 - x + 1) - 2x = x(x + 1)(x-1)
giải phương trình
a, \(\dfrac{3}{2x-1}+1=\dfrac{2x-1}{2x+1}\)
b,\(\dfrac{3x-1}{x-1}-\dfrac{2x+5}{x+3}+\dfrac{4}{x^2+2x-3}=1\)
c,\(\dfrac{5}{x^2+x-6}-\dfrac{2}{x^2+4x+3}=\dfrac{-3}{2x-1}\)
d, \(\left(x^2-4\right)\left(2x+3\right)=\left(x^2-4\right)\left(x-1\right)\)
e, \(x^3+x^2+x+1=0\)
A) 2(x-3)=5(x+4)
B) 8x-3/5=2x+8/8
X-5x+2/6=7-3x/4
C) 7x-3/5=5x+7/7
D) (3x-5)(7x+5)=0
E) (½x -3/4 )(5-2x)=0
G)( 2x+7)(x-5)(5x+1)
H) x+1/x-3 - 1/x-1=2/(x-1)(x-3)
bài 1: Giải phương trình a. ( 5-x)(2+3x) = 4-9x2 b. 25-x2 = 4x(5+x) c. x2-2x+1 = 3x(x-1) d. 4(7x-3) = 7x2-3x e. (x-5)4+(x-3)4 = 16
Bài 5:Giải các phương trình sau.
a) 3 – 4y + 24 + 6y = y + 27 + 3y b) 5 – (x – 6) = 4(3 – 2x)
c) (x + 1)(2x – 3) = (2x – 1)(x + 5) d) 2x(x + 2)2 – 8x2 = 2(x – 2)(x2 + 2x + 4)
e) (x – 3)(x + 4) – 2(3x – 2) = (x – 4)2 f) (x + 1)(x2 – x + 1) – 2x = x(x + 1)(x – 1)
Giải phương trình:
1. \(\frac{2x+3}{4}-\frac{5x+3}{6}=\frac{3-4x}{12}\)
2. \(\frac{3.\left(2x+1\right)}{4}-1=\frac{15x-1}{10}\)
3. \(\frac{2x-1}{5}-\frac{x-2}{3}=\frac{x+7}{15}\)
4. \(\frac{x+3}{2}-\frac{x-1}{3}=\frac{x+5}{6}+1\)
5. \(\frac{x-4}{5}-\frac{3x-2}{10}-x=\frac{2x-5}{3}-\frac{7x+2}{6}\)
6. \(\frac{\left(x+2\right)\left(x+10\right)}{3}-\frac{\left(x+4\right)\left(x+10\right)}{12}=\frac{\left(x-2\right)\left(x+4\right)}{4}\)
7. \(\frac{\left(x+2\right)^2}{8}-2\left(2x-1\right)=25+\frac{\left(x-2\right)^2}{8}\)
8.\(\frac{7x^2-14x-5}{5}=\frac{\left(2x+1\right)^2}{5}-\frac{\left(x-1\right)^2}{3}\)
9. \(\frac{\left(2x-3\right)\left(2x+3\right)}{8}=\frac{\left(x-4\right)^2}{6}+\frac{\left(x-2\right)^2}{3}\)
10. \(\frac{x+1}{35}+\frac{x+3}{33}=\frac{x+5}{31}+\frac{x+7}{29}\)
