ĐKXĐ: \(x\ne4\)
Ta có: \(\frac{14}{3x-12}-\frac{2+x}{x-4}=\frac{3}{8-2x}-\frac{5}{6}\)
\(\Leftrightarrow\frac{14-3\left(x+2\right)}{3\left(x-4\right)}=\frac{9-5\left(4-x\right)}{6\left(4-x\right)}\)
\(\Leftrightarrow\frac{-3x+8}{3\left(x-4\right)}=\frac{5x-11}{6\left(4-x\right)}\)
\(\Leftrightarrow\frac{-6x+16}{6\left(x-4\right)}=\frac{-5x+11}{6\left(x-4\right)}\)
\(\Leftrightarrow-6x+16=-5x+11\)
\(\Leftrightarrow-x+5=0\)
\(\Leftrightarrow x=5\)(tm)
Vậy: x=5
Câu 1. Giải các phườn trình sau:
a, 3x+6=0
b, 2x-10=0
c, 3x-7=11
d, 3x-9=0
e, 3x(2-x) =15(x-2)
f, (x+5)(x+4)=0
g, x(x+4)=0
h, (2x -4)(x-2)=0
i, (x+1/5)(2x-3)=0
k, x²-4x=0
m, 4x²-1=0
n, x²-6x+9=0
l, (3x-5)²-(x+4)²=0
o, 7x(x+2)-5(x+2)=0
p, 3x(2x-5)-4x+10=0
q, (2-2x)-x²+1=0
r, x(1-3x)=5(1-3x)
s, 2x-3/4+x+1/6=3
t, x-3/4-2x+1/3=x/6
u, x+1/13+x+2/12=x+3/11+x+4/10
v, 2x+1/15+2x+2/14=2x+3/13+2x+4/12
Giúp e nha mn. E cảm ơn trc ạ!
Giải các phương trình :
a) (2x + 5)2 = (x + 2)2
b) 2x3 + 6x2 = x2 + 3
c) 1 + 1/x +2 = 12/ 8 - x3
d) 2(1-2x)/4 - 2 + 3x/6 = 2 - 2(3x -1)/ 2
e) (x - 2)(2x - 3) = (4 - 2x)(x - 2)
f) 2x( x - 3) + 5(x - 3) = 0
g) 4x2 - 1 = (2x + 1)(3x - 5)
Tìm x biết:
1. (x-2)^2-(x-3)(x+3)=6
2. 4(x-3)^2-(2x-1)(2x+1)=10
3. (x-4)^2-(x-2)(x+2)=6
4.9(x+1)^2-(3x-2)(3x+2)=10
5. 3x +2(5-x)=0
6.x(2x-1)(x+5)-(2x^2+1)(x+4,5)=3,5
7, 3x^2-3x(x-2)=36
8. (3x^2-x+1)(x-1) +x^2(4-3x)=5/2
I. Giải các phương trình sau
a)x-(x/2-3+x/4)/2 = 2x - (10x-7x/3)/2 - x -1
b) 3/10×(1,2- x)-5+7x/4=1/20×(9x+0,2) - 12,5x+4,5/5
II. Giải các phương trình sau
a) 25x - 655/95-5×(x-12)/209= 89-3x-2(x-18)/5
b)8×(x+22)/45{7x+149+[6×(x+12)/5]}/9 = [x+35+2×(x+50)/9]/5
c) [x+2(3-x)/5]/14- [5x - 4(x-1)]/24 = (7x+2+9-3x/5)/12 + 2/3
III. Giải phương trình sau:
(59-x/41) + (57-x/43) + (55-x/45) + (53-x/47) + (51-x/49)=-5
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
giải phương trình
a) \(\frac{4x-8}{2x^2+1}=0\)
b)\(\frac{x^2-x-6}{x-3}=0\)
c)\(\frac{x+5}{3x-6}-\frac{1}{2}=\frac{2x-3}{2x-4}\)
d)\(\frac{12}{1-9x^2}=\frac{1-3x}{1+3x}-\frac{1+3x}{1-3x}\)
4.Giải phương trình
a) \(\dfrac{x+5}{x-5}-\dfrac{x-5}{x+5}=\dfrac{20}{x^2-25}\)
b)\(\dfrac{1}{x-1}+\dfrac{2}{x+1}=\dfrac{x}{x^2-1}\)
c)\(5+\dfrac{76}{x^2-16}=\dfrac{2x-1}{x+4}-\dfrac{3x-1}{4-x}\)
d)\(\dfrac{90}{x}-\dfrac{36}{x-6}=2\)
e)\(\dfrac{1}{x}+\dfrac{1}{x+10}=\dfrac{1}{12}\)
f)\(\dfrac{x+3}{x-3}-\dfrac{1}{x}=\dfrac{3}{x\left(x-3\right)}\)
g)\(\dfrac{3}{x+2}-\dfrac{2}{x-2}+\dfrac{8}{x^2-4}=0\)
h)\(\dfrac{3}{x+2}-\dfrac{2}{x-3}=\dfrac{8}{\left(x-3\right)\left(x+2\right)}\)
i)\(\dfrac{x}{2x+6}-\dfrac{x}{2x+2}=\dfrac{3x+2}{\left(x+1\right)\left(x+3\right)}\)
k)\(\dfrac{x}{x+1}-\dfrac{2x-3}{1-x}=\dfrac{3x^2+5}{x^2-1}\)
l)\(\dfrac{5}{x+7}+\dfrac{8}{2x+14}=\dfrac{3}{2}\)
m)\(\dfrac{x-1}{x}-\dfrac{1}{x+1}=\dfrac{2x-1}{x^2+x}\)
Cần gấp ạ
Phân tích các đa thức sau thành nhân tử :
1) x3- 7x + 6
2) x3 - 9x2 + 6x + 16
3) x3 - 6x2 - x + 30
4) 2x3 - x2 + 5x +3
5) 27x3 - 27x2 + 18x - 4
6) x2 + 2xy + y2 - x - y - 12
7) ( x + 2 )( x + 3 )( x + 4 )( x + 5 ) - 24
8) 4x4 - 32x2 + 1
9) 3( x4 + x2 + 1 ) - ( x2 + x + 1 )2
10) 64x4 + y4
11) a6 + a4 +a2b2 + b4 - b6
12) x3 + 3xy + y2 - 1
13) 4x4 + 4x3 + 5x2 + 2x + 1
14) x8 + x + 1
15) x8 + 3x4 + 4
16) 3x2 + 22xy + 11x + 37y + 7y2 + 10
17) x4 - 8x + 63
Bài 4: Giải các phương trình sau
a) 4(x+5)(x+6)(x+10)(x+12)=\(3x^2\)
b) \(\frac{1}{x^2-3x+3}+\frac{2}{x^2-3x+4}=\frac{6}{x^2-3x+5}\)
c) \(\frac{4x}{4x^2-8x+7}+\frac{3x}{4x^2-10x+7}=1\)
d) \(\dfrac{2x}{2x^2-5x+3}+\dfrac{13x}{2x^2+x+3}=6\)
