\(\frac{2x}{x+1}+\frac{3\left(x+1\right)}{x}=5\)
\(\Leftrightarrow\frac{2x^2+3\left(x+1\right)^2}{x\left(x+1\right)}=\frac{5x\left(x+1\right)}{x\left(x+1\right)}\)
\(\Rightarrow2x^2+3\left(x^2+2x+1\right)=5x^2+5x\)
\(\Leftrightarrow2x^2+3x^2+6x+3=5x^2+5x\)
\(\Leftrightarrow5x^2-5x^2+6x-5x=-3\)
\(\Leftrightarrow x=-3\)
Rút gọn :
1. (2x-5)(3x+1)-(x-3)^2+(2x+5)^2-(3x+1)^3
2. (2x-1)(2x+1)-3x-2)(2x+3)-(x-1)^3+(2x+3)^3
3. (x-2)(x^2+2x+4)-(3x-2)^3+(3x-4)^2
4. (7x-1)(8x+2)-(2x-7)^2-(x-4)^3-(3x+1)^3
5. (5x-1)(5x+1)-(x+3)(x^2-3x+9)-(2x+4)^2-(3x-4)^2+(2x-5)^3
6. (4x-1)(x+2)-(2x+5)^2-(3x-7)^2+(2x+3)^3=(3x-1)^3
Tìm x biết
1.(x+3)2-(x+2).(x-2)=4x+17
2.(2x+1)2-(4x-1).(x-3)-15=0
3.(2x+3).(x-1)+(2x-3).(1-x)=0
4.2(5x-8)-3(4x-5)=4(3x-4)+11
5.(3x-1).(2x-7)-(1-3x).(6x-5)=0
(2x-1)^2-(x-3)(2x+5)
x(2x-5)-3(3x-1)^2.x-3x
(3x-1)^3-(2x-1)(4x^2+4x+1)
(1+3x)(1-3x+9x^2)-(2x-1)^3
2(x-3)(x+3)-x(2x-1)(x-3)
ai giúp mình với khó quá:<
Tìm x: a)(2x+1)(1-2x)+(1-2x)^2=18
b) 2(x+1)^2-(x-3)(x+3)-(x-4)^2=0
c) (x-5)^2-x(x-4)=9
d) (x-5)^2+(x-4)(1-x)=0
Rút gọn:
A=(x-3)²-(2x-1)(2x+1)
B=(2x-3)²-(x-1)(2x+1)
C=4x(x-3)-(4-2x)²
D=3x(x-1)(x-2)-x(2x-1)²
E=(4-x)(x+4)-(x+2)²
P=(2x+3)²-(2x+1)(2x-1)
Q=(4-3x)²-(9x-1)(9x+1)
M=(5+x) (x-5)-(x-3)²
N=2(3x+1)(x-2)-6(x+2)²
Rút gọn các biểu thức sau:
a) 2x(2x-1)^2-3x(x+3)-4x(x+1)
b)(3x+1) (3^2+1) (3^4+1).....(3^100+1)
c) 5x(x^2-x)-x^2(5x-5) -15
d) (x+5)^2 - 4x(2x+3)^2 - (2x-1) (x+3) (x-3)
tìm x biết:
a) (x-3)2-4=0
b) x2-2x=24
c) (x+4)2-(x+1)(x-1)=16
d) (2x+1)2-4(x-1)2=9
e) (x+3)2-(x-4)(x+8)=1
f) (2x-1)2+(x+3)2-5(x+7)(x-7)=0
g) 3(x+2)2+(2x-1)2-7(x+3)(x-3)=36
1.(x+2)3+(x-3)2-x2(x+5)
2.(2x+3).(x-5)+2x(3-x)+x-10
3.(-x-2)3+(2x-4).(x2+2x+4)-x2.(x-6)
Tìm x
a)2x(x+5)-x(3+2x)=26
b)5x(x-1)=x-1
c)2(x+5)-x2-5x=0
d)(2x-3)2-(x+5)2=0
e)3x3-48x=0
f)x3+x2-4x=4
g)(x-1)(2x+3)-x(x-1)=0
h)x2-4x+8=2x-1
1.(x+2)3+(x-3)2-x2(x+5)
2.(2x+3).(x-5)+2x(3-x)+x-10
3.(x+5).(x2-5x+25)-x(x-4)2+16x
4.(-x-2)3+(2x-4).(x2+2x+4)-x2.(x-6)
