\(\Leftrightarrow\left(x+1\right)\left(x^2+2x+1-2+3x\right)=0\)
\(\Leftrightarrow\left(x+1\right)\left(x^2+5x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-1\\x=\dfrac{-5-\sqrt{29}}{2}\\x_2=\dfrac{-5+\sqrt{29}}{2}\end{matrix}\right.\)
\(\Leftrightarrow\left(x+1\right)\left(x^2+2x+1-2+3x\right)=0\)
\(\Leftrightarrow\left(x+1\right)\left(x^2+5x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-1\\x=\dfrac{-5-\sqrt{29}}{2}\\x_2=\dfrac{-5+\sqrt{29}}{2}\end{matrix}\right.\)
1. Chứng tỏ 2 phương trình sau tương đương :
a. ( x2 - 1 )( x + 2 ) = 0 và x2 - 1 = 0
b. x3 - 3x2 - 1 = 0 và ( x - 1 )3 - 3x = 0
c. x + 2 = 0 và ( x + 2 )( x2 + 1 ) = 0
d. x3 + 3x + 1 = 0 và ( x + 1 )3 - 3x2 = 0
e. x2 - 3x + 9 = 0 và ( x - 3 )2 + 3x = 0
Giải phương trình
a) \(x^2-2x+1=0\)
b)\(1+3x+3x^2+x=0\)
c)\(x+x^4=0\)
d)\(x^3-3x^2+3x-1+x\left(x^2-x\right)=0\)
e)\(x^2+x-12=0\)
g)\(6x^2-11x-10=0\)
1) (4-3x) (10x-5)=0
2) (7-2x) (4+8x) = 0
3) (9-7x) (11-3x) = 0
4) (7-14x) (x-2) = 0
5) (2x+1) (x-3) = 0
6) (8-3x) (-3x+5) = 0
7) (16-8x) (2-6x) = 0
8) (x+4) (6x-12) = 0
9) (11-33x) (x+11) = 0
10) (x-1/4) (x+5/6) = 0
11) (7/8-2x) (3x+1/3) = 0
12) 3x - 2x^2 = 0
13) 5x + 10x^2 = 0
14) 4x + 3x^2 = 0
15) -8x^2 + x =0
16) 10x^2 - 15x = 0
17) x^2 -4 =0
18) 9 - x^2 = 0
19) x^2 -1 = 0
20) (x-3) (2x-1) = (2x-1) ( 2x+3)
21) (5+4x) (-x+2) = (5+4x) (7+5x)
22) (4+x) (x-5) = (3x-8) (x-5) = 0
23) (3x-8) (7-21x) - (9+2x) (7-21x)
24) (10+ 7x) (x+1) = (9x-2)(x-1)
25) (9x-4) (x-1/2) - (x-1/2) (6+x) = 0
26) 9x^2 - 1 = (3x-1) (x+4)
27) (x+7) (3x+1) = 49-x^2
28) (2x+1)^2 = (x-1)^2
29)x^3- 5x^2+6x = 0
30) 3x^2 + 5x + 2 = 0
Giảii giúpp mìnhh đyy mọii ngườii .
1) (x^3 - x^2)- 4x^2 + 8x - 4 = 0
2) 2x^3 - 50x = 0
3) (x + 1) = ( x + 1)(x - 1)
4) ( 3x+1)^2-4(X-3)^2=0
5)(X+3)(X^2-5X+9)-X^3=2X
6) (4X+3)^2-(4X-3)^2-5X-2=0
7)(X-1)^3-(X-3)(X^2+3X+9)-3X(2-X)=5
a) \(x\left(x+4\right)-4x+1=0\)
b) \(2\left(x-3\right)+4=2x+2\)
c) \(\dfrac{x+3}{2}-\dfrac{2x+1}{4}=\dfrac{1}{4}\)
d) \(\dfrac{x^2+3x}{x+3}+3=0\)
e) \(x^2-3x\left(x-1\right)-3x-2=0\)
giải các Phương trình sau
a) x/2+x/3=1/4-x5
b) ( x+1)^2-5=x^2+11
c) 3.(3x-1)=3x+5
d) 3x.(2x-3)-3.(3+2x^2)=0
e) (3x-1)^2-3.(3x-2)=9.(x+1).(x-3)
f) (x-1)^2-x.(x+1)+3.(x-2)+5=0
c)(x-1)^2=4
d)x^3+2x^2-x-2=0
e)(3x+2)^2-(2x-1)^2=0
a) 3x^2-2x-8=0
b)2x^3-3x^2+3x+8 =0
g) ( x+2)^2-(2x-1)^2=(3x+1)^2
h)2x^2-3=0
i)2x^2+x+3=0
a)(3x+1)^2-x^2+8x-16=0
b)(x+1)(x-1)^2-(x+1)(x-2)^2=0
c)(x+1)(x-3)^2=(3x+1)(2x-5)^2
đ)(x+5)(3x+2)^2=x^2(x+5)
e)x^3-8x^2+21x-18=0
f)x^4+x^2+6x-8=0
a,4x-8/2x2+1=0 b,x2-x-6/x-3=0 c,x+5/3x-6-1/2=2x-3/2x-4 d,12/1-9x2=1-3x/1+3x-1+3x/1-3x
tim x biet
a/(3x-5)(2x-1)-(x+2)(6x-1)=0
b/ (3x-5)(3x+2)-(3x-1)2=-5
c/(3x+2)(x-5)=3(x-1)2-2
d/ (x+1)2/3 - (x-2)2/2 = 2x+1/2 (x-3)2/6
g/49x2=(3x+2)2
h/(3x-4)2-(2x-2)2-3(x-2)(2x-1)=0
i/ (x-2)(x2-2x+4)-x(x2+2)=15
k/ 6x2-7x-3=0
m/(x+5)(x-3)+x2-25=0
e/ x3+3x2=4x+12
f/ (6x+7)2(3x+4)(x+1)=6