Tim x
1/ 2.x2012 = x2014
2/ 2x-1 .8 + 2x-1 . 3 = 44
3/ 22 .3x = 108
tìm x:
a) 3x(2x-7)-(6x+1)(x-15)-2010=0
b) 2x(x-2012)-x+2012=0
c) (x+2y)(x^2-2xy+4y^2)-8y^3+27=0
d)x^3+x^2-2x-8=0
Ta có : 3x(2x - 7) - (6x + 1)(x - 15) - 2010 = 0
=> 6x2 - 21x - (6x2 + x - 90x - 15) - 2010 = 0
=> 6x2 - 21x - 6x2 + 89x + 15 - 2010 = 0
=> 68x - 1995 = 0
?
b) 2x(x - 2012) - x + 2012 = 0
=> 2x(x - 2012) - (x - 2012) = 0
=> (x - 2012) (2x - 1) = 0
⇔[
x−2012=0 |
2x−1=0 |
⇔[
x=2012 |
2x=1 |
⇔[
x=2012 |
x=12 |
Vậy x = {2012;12 }
Ta có : 3x(2x - 7) - (6x + 1)(x - 15) - 2010 = 0
=> 6x2 - 21x - (6x2 + x - 90x - 15) - 2010 = 0
=> 6x2 - 21x - 6x2 + 89x + 15 - 2010 = 0
=> 68x - 1995 = 0
?
b) 2x(x - 2012) - x + 2012 = 0
=> 2x(x - 2012) - (x - 2012) = 0
=> (x - 2012) (2x - 1) = 0
\(\Leftrightarrow\orbr{\begin{cases}x-2012=0\\2x-1=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=2012\\2x=1\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=2012\\x=\frac{1}{2}\end{cases}}\)
Vậy x = \(\left\{2012;\frac{1}{2}\right\}\)
Bài 1 tìm x
a) 3x(2x-7)-(6x+1)(x-15)-2010=0
b) 2x(x-2012)-x+2012=0
c) (x+2y)(x^2-2xy+4y^2-8y^3+27=0
d) x^3+x^2-2x-8=0
Bài 1: tìm x
1, 2x(3x-1)+1-3x=0
2, x\(^2\)(2x-3)+12-8x=0
3, 25(x-1)\(^2\)-4=0
4, 25x\(^2\)-10x+1=0
5, -4x\(^2\)+\(\dfrac{1}{9}\)=0
6, (x-1)\(^3\)=8
7, (2x-1)\(^3\)+27=0
8, 125+\(\dfrac{1}{8}\)(x-1)\(^3\)=0
5: =>4x^2-1/9=0
=>(2x-1/3)(2x+1/3)=0
=>x=1/6 hoặc x=-1/6
6: =>x-1=2
=>x=3
7:=>(2x-1)^3=-27
=>2x-1=-3
=>2x=-2
=>x=-1
8: =>1/8(x-1)^3=-125
=>(x-1)^3=-1000
=>x-1=-10
=>x=-9
3: =>(5x-5)^2-4=0
=>(5x-7)(5x-3)=0
=>x=3/5 hoặc x=7/5
4: =>(5x-1)^2=0
=>5x-1=0
=>x=1/5
1: =>(3x-1)(2x-1)=0
=>x=1/3 hoặc x=1/2
2: =>x^2(2x-3)-4(2x-3)=0
=>(2x-3)(x^2-4)=0
=>(2x-3)(x-2)(x+2)=0
=>x=3/2;x=2;x=-2
`@` `\text {Answer}`
`\downarrow`
`1,`
\(2x\left(3x-1\right)+1-3x=0\)
`<=> 2x(3x - 1) - 3x + 1 = 0`
`<=> 2x(3x - 1) - (3x - 1) = 0`
`<=> (2x - 1)(3x-1) = 0`
`<=>`\(\left[{}\begin{matrix}2x-1=0\\3x-1=0\end{matrix}\right.\)
`<=>`\(\left[{}\begin{matrix}2x=1\\3x=1\end{matrix}\right.\)
`<=>`\(\left[{}\begin{matrix}x=\dfrac{1}{2}\\x=\dfrac{1}{3}\end{matrix}\right.\)
Vậy, `S = {1/2; 1/3}`
`2,`
\(x^2\left(2x-3\right)+12-8x=0\)
`<=> x^2(2x - 3) - 8x + 12 =0`
`<=> x^2(2x - 3) - (8x - 12) = 0`
`<=> x^2(2x - 3) - 4(2x - 3) = 0`
`<=> (x^2 - 4)(2x - 3) = 0`
`<=>`\(\left[{}\begin{matrix}x^2-4=0\\2x-3=0\end{matrix}\right.\)
`<=>`\(\left[{}\begin{matrix}x^2=4\\2x=3\end{matrix}\right.\)
`<=>`\(\left[{}\begin{matrix}x^2=\left(\pm2\right)^2\\x=\dfrac{3}{2}\end{matrix}\right.\)
`<=>`\(\left[{}\begin{matrix}x=\pm2\\x=\dfrac{3}{2}\end{matrix}\right.\)
Vậy, `S = {+-2; 3/2}`
`3,`
\(25\left(x-1\right)^2-4=0\)
`<=> 25(x-1)(x-1) - 4 = 0`
`<=> 25(x^2 - 2x + 1) - 4 = 0`
`<=> 25x^2 - 50x + 25 - 4 = 0`
`<=> 25x^2 - 15x - 35x + 21 = 0`
`<=> (25x^2 - 15x) - (35x - 21) = 0`
`<=> 5x(5x - 3) - 7(5x - 3) = 0`
`<=> (5x - 7)(5x - 3) = 0`
`<=>`\(\left[{}\begin{matrix}5x-7=0\\5x-3=0\end{matrix}\right.\)
`<=>`\(\left[{}\begin{matrix}5x=7\\5x=3\end{matrix}\right.\)
`<=>`\(\left[{}\begin{matrix}x=\dfrac{7}{5}\\x=\dfrac{3}{5}\end{matrix}\right.\)
Vậy, `S = {7/5; 3/5}`
`4,`
\(25x^2-10x+1=0\)
`<=> 25x^2 - 5x - 5x + 1 = 0`
`<=> (25x^2 - 5x) - (5x - 1) = 0`
`<=> 5x(5x - 1) - (5x - 1) = 0`
`<=> (5x - 1)(5x-1)=0`
`<=> (5x-1)^2 = 0`
`<=> 5x - 1 = 0`
`<=> 5x = 1`
`<=> x = 1/5`
Vậy,` S = {1/5}.`
`@` `\text {Ans}`
`\downarrow`
`5,`
`-4x^2 + 1/9 = 0`
`<=> -4x^2 = 0 - 1/9`
`<=> -4x^2 = -1/9`
`<=> 4x^2 = 1/9`
`<=> x^2 = 1/9 \div 4`
`<=> x^2 = 1/36`
`<=> x^2 = (+-1/6)^2`
`<=> x = +-1/36`
Vậy, `S = {1/36; -1/36}`
`6,`
`(x-1)^3 = 8`
`<=> (x-1)^3 = 2^3`
`<=> x-1=2`
`<=> x = 2 + 1`
`<=> x = 3`
Vậy, `S = {3}`
`7,`
`(2x-1)^3 + 27 = 0`
`<=> (2x - 1)^3 = -27`
`<=> (2x-1)^3 = (-3)^3`
`<=> 2x - 1 = -3`
`<=> 2x = -3 + 1`
`<=> 2x = -2`
`<=> x = -1`
Vậy,` S = {-1}`
`8,`
`125 + 1/8(x-1)^3 = 0`
`<=> 1/8(x-1)^3 = - 125`
`<=> (x-1)^3 = -125 \div 1/8`
`<=> (x-1)^3 = -1000`
`<=> (x-1)^3 = (-10)^3`
`<=> x - 1 = - 10`
`<=> x = -10+1`
`<=> x = -9`
Vậy, `S = {-9}.`
Bài 1: (2đ). Thực hiện phép tính: a) 3x(x² + 2x - 1) b) (2x² +5x+2) : (x+2) 6 3 c) x² + 4x + 2x+8 Bài 2: (2đ). a) Tim x, biết: x(x – 2)+x−2 =0 a) x²-25-(x + 5) = 0 a) 2x²(3x² - 7x +2) b) (2x²-7x+3): (2x - 1) r 4-4x c) + x-2 x-2 x +1 -2x + c) 2x-2x² b) Tính giá trị của biểu thức: xẻ + 2x + l − y, tại x = 94,5 và y=4,5 b) Tính giá trị của biểu thức: (X + 1) − y”, tại x =94,5 và y=4,5 c) Tính giá trị biểu thức: Q = xẻ − 10x + 25 tại x = 1005 Bài 3: (2đ) Rút gọn phân thức a) A = x² +6x+9 b) 4x+10 2x²+5x B = c) C= x²-xy Sy²-5xy Bài 5: (2,5 đ) Cho AABC, đường trung tuyển AM. Gọi D là trung điểm của AB, E là điểm dối xứng với M qua D. a) Tử giác AEBM là hình gì? Vì sao? b) Biết AC = 12cm, tính độ dải đoạn MD?
Bài 2:
a: \(\Leftrightarrow\left(x-2\right)\left(x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-1\end{matrix}\right.\)
tìm x,y biết:
a,(x+y)2+(1+x)(1+y)=0
b,(3x-2)(x+1)2(3x+8)=-16
c,(4x-5)(2x-3)(x-1)=9
d,(2x2+x-2013)2+4(x2-5x-2012)2=4(2x2+x-2013)(x2-5x-2012)
I don't now
sorry
...................
nha
b) \(\left(3x-2\right)\left(x+1\right)^2\left(3x+8\right)=-16\)
\(\Leftrightarrow\)\(\left(3x-2\right)\left(3x+3\right)^2\left(3x+8\right)+144=0\)
Đặt: \(3x+3=a\)pt trở thành:
\(\left(a-5\right)a^2\left(a+5\right)+144=0\)
\(\Leftrightarrow\)\(a^4-25a^2+144=0\)
\(\Leftrightarrow\)\(\left(a-4\right)\left(a-3\right)\left(a+3\right)\left(a+4\right)=0\)
đến đây bạn tìm a rồi tính x
c) \(\left(4x-5\right)\left(2x-3\right)\left(x-1\right)=9\)
\(\Leftrightarrow\)\(\left(4x-5\right)\left(4x-6\right)\left(4x-4\right)-72=0\)
Đặt \(4x-5=a\)pt trở thành:
\(a\left(a-1\right)\left(a+1\right)-72=0\)
\(\Leftrightarrow\)\(a^3-a-72=0\)
p/s: ktra lại đề
d) \(\left(2x^2+x-2013\right)^2+4\left(x^2-5x-2012\right)^2=4\left(2x^2+x-2013\right)\left(x^2-5x-2012\right)\)
\(\Leftrightarrow\)\(\left(2x^2+x-2013\right)^2+4\left(x^2-5x-2012\right)^2-4\left(2x^2+x-2013\right)\left(x^2-5x-2012\right)=0\)
\(\Leftrightarrow\)\(\left[\left(2x^2+x-2013\right)-2\left(x^2-5x-2012\right)\right]^2=0\)
\(\Leftrightarrow\)\(\left(11x+2011\right)^2=0\)
đến đây làm nốt
Tìm x,y biết:
a,(x+y)2+(1+x)(1+y)=0
b,(3x-2)(x+1)2(3x+8)=-16
c,(4x-5)(2x-3)(x-1)=9
d,(2x2+x-2013)2+4(x2-5x-2012)2=4(2x2+x-2013)(x2-5x-2012)
bài 7 tìm x
1,x(x+3)-5(x+3)=0 2,5x(x-1)=x-1
3,(x+1)=(x+1)\(^2\) 4,x(2x-3)-2(3-2x)=0
5,\(\left(x-2\right)^2-4=0\) 6,\(36x^2=49\)
7,\(2x\left(x-6\right)-x+6=0\) 8,\(3x\left(2x-1\right)-24x+12=0\)
9,\(x^2-6x+8=0\) 10,\(x^2+2x-15=0\)
1: =>(x+3)(x-5)=0
=>x=5 hoặc x=-3
2: =>(x-1)(5x-1)=0
=>x=1/5 hoặc x=1
5: =>(x-4)*x=0
=>x=0 hoặc x=4
10: =>(x+5)(x-3)=0
=>x=3 hoặc x=-5
9: =>(x-2)(x-4)=0
=>x=2 hoặc x=4
7: =>(x-6)(2x-1)=0
=>x=1/2 hoặc x=6
8: =>(2x-1)(3x-12)=0
=>x=4 hoặc x=1/2
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 7
4x3 + 12 = 120
b, ( x - 4 )2 = 64
c, ( x + 1 )3 - 2 = 52
d, 136 - ( x + 5)2 = 100
e, 4x = 16
f, 7x. 3 - 147 = 0
g, 2x+3 - 15 = 17
h, 52x-4. 4 = 102
i, (32 - 4x)(7 - x) = 0
k, ( 8 - x)(10 - 2x) = 0
m, 3x + 3x+1 = 108
n, 5x+2 + 5x+1 = 750
a: \(4x^3+12=120\)
=>\(4x^3=108\)
=>\(x^3=27=3^3\)
=>x=3
b: \(\left(x-4\right)^2=64\)
=>\(\left[{}\begin{matrix}x-4=8\\x-4=-8\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=12\\x=-4\end{matrix}\right.\)
c: (x+1)^3-2=5^2
=>\(\left(x+1\right)^3=25+2=27\)
=>x+1=3
=>x=2
d: 136-(x+5)^2=100
=>(x+5)^2=36
=>\(\left[{}\begin{matrix}x+5=6\\x+5=-6\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=1\\x=-11\end{matrix}\right.\)
e: \(4^x=16\)
=>\(4^x=4^2\)
=>x=2
f: \(7^x\cdot3-147=0\)
=>\(3\cdot7^x=147\)
=>\(7^x=49\)
=>x=2
g: \(2^{x+3}-15=17\)
=>\(2^{x+3}=32\)
=>x+3=5
=>x=2
h: \(5^{2x-4}\cdot4=10^2\)
=>\(5^{2x-4}=\dfrac{100}{4}=25\)
=>2x-4=2
=>2x=6
=>x=3
i: (32-4x)(7-x)=0
=>(4x-32)(x-7)=0
=>4(x-8)*(x-7)=0
=>(x-8)(x-7)=0
=>\(\left[{}\begin{matrix}x-8=0\\x-7=0\end{matrix}\right.\)
=>\(\left[{}\begin{matrix}x=8\\x=7\end{matrix}\right.\)
k: (8-x)(10-2x)=0
=>(x-8)(x-5)=0
=>\(\left[{}\begin{matrix}x-8=0\\x-5=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=8\\x=5\end{matrix}\right.\)
m: \(3^x+3^{x+1}=108\)
=>\(3^x+3^x\cdot3=108\)
=>\(4\cdot3^x=108\)
=>\(3^x=27\)
=>x=3
n: \(5^{x+2}+5^{x+1}=750\)
=>\(5^x\cdot25+5^x\cdot5=750\)
=>\(5^x\cdot30=750\)
=>\(5^x=25\)
=>x=2
1. phan tich da thuc thanh nhan tu
a. x^2+3x-5 b. 4x^2-16x+7 c. 5x^2-6x-7 d.x^4+2x^3-4x-4
2. tim x,y bt: x^2+y^2+z^2=xy+yz+zx va x^2012+y^2012+z^2012= 3^2013
3. tim x: a. x^2-4x=21 b. x^2-4x+4=0 c.x^2-6x=2x=11 d. 4^x-12.2^x+32=0