4(x-1)^2-25(2-3x)^2=0
pls need help!!!!
1. Tìm x:
3(2x-1)(3x-1) - (2x-3)(9x-1) = 0
2(5x-8) - 3(4x-5) = 4(3x-4) +10
(3x+2)(2x+9) - (x+2)(6x+1)
VD: 3(2x-1) = 3 nhân (2 nhân x trừ 1)
2. Chứng minh: (x+9)(x+b) = x^2 + (a+b)x + ab
pls help :(
1)
a) \(3\left(2x-1\right)\left(3x-1\right)-\left(2x-3\right)\left(9x-1\right)=0\)
\(\Leftrightarrow\left(6x-3\right)\left(3x-1\right)-\left(18x^2-2x-27x+3\right)=0\)
\(\Leftrightarrow18x^2-6x-9x+3-18x^2 +29x-3=0\)
\(\Leftrightarrow14x=0\)
\(\Rightarrow x=0\)
b) \(2\left(5x-8\right)-3\left(4x-5\right)=4\left(3x-4\right)+10\)
\(\Leftrightarrow10x-16-12x+15=12x-16+10\)
\(\Leftrightarrow10x-12x+15=12x+10\)
\(\Leftrightarrow-2x+15=12x+10\)
\(\Leftrightarrow-2x-12x=10-15\)
\(\Leftrightarrow-14x=-5\)
\(\Rightarrow x=\dfrac{5}{14}\)
c) \(\left(3x-2\right)\left(2x+9\right)-\left(x+2\right)\left(6x+1\right)=0\)
\(\Leftrightarrow6x^2+27x-4x-18-\left(6x^2+x+12x+2\right)=0\)
\(\Leftrightarrow6x^2+27x-4x-18-6x^2-13x-2=0\)
\(\Leftrightarrow10x-20=0\)
\(\Leftrightarrow10x=20\)
\(\Rightarrow x=2\)
( x^2 -4 ) . ( x^2 -10) < 0
pls help
\(\left(x^2-4\right)\times\)\(\left(x^2-10\right)\subset0\)
\(\Rightarrow\)\(\left(x^2-4\right)< 0hoăc\left(x^2-10\right)< 0\)
còn đâu xét hai th trên thôi
1. Tìm x:
a. 2x.(2x-1)^2 - 3x.(x+3).(x-3) - 4x.(x+1)^2 - x^3 = x^3 - 16.x^2 + 1
b. x.(x-2)^2 + 3x.(2x-1)^2 - 13.x^2 + 16.x^2 = 5x+2
2. Tính nhanh
a. 127^2 + 146 x 127 + 73^2
b. 9^8 x 2^8 - ( 18^4 - 1 ) x ( 18^4 + 1 )
help pls
Tìm x :
x . ( x + 2 ) =0
Help me pls :(
\(x\cdot\left(x+2\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x+2=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=0\\x=-2\end{matrix}\right.\)
Vậy: \(x\in\left\{0;-2\right\}\)/
x . (x + 2) = 0
x + 2 = 0 : x
x + 2 = 0
x = 0 - 2
x = (-2)
x . (x + 2) = 0
x + 2 = 0 : x
x + 2 = 0
x = -2
mai mik kiểm tra rùi giúp mik vs pls
a) $\frac{x-1}{x}$ - $\frac{1}{x+1}$ = $\frac{2x-1}{x2+x}$
b) (x+2).(5-3x)=0
c)$\frac{5(1-2x)}{3}$ + $\frac{x}{2}$ = $\frac{3(x-5)}{4}$ - 2
\(\dfrac{x-1}{x}-\dfrac{1}{x+1}=\dfrac{2x-1}{x^2+x}\)
\(\Leftrightarrow\dfrac{x-1}{x}-\dfrac{1}{x+1}=\dfrac{2x-1}{x\left(x+1\right)}\)
ĐKXĐ : \(\left\{{}\begin{matrix}x\ne0\\x+1\ne0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x\ne0\\x\ne-1\end{matrix}\right.\)
Ta có : `(x-1)/x -1/(x+1) =(2x-1)/(x(x+1))`
\(\Leftrightarrow\dfrac{\left(x-1\right)\left(x+1\right)}{x\left(x+1\right)}-\dfrac{x}{x\left(x+1\right)}=\dfrac{2x-1}{x\left(x+1\right)}\)
`=> x^2 +x -x-1 -x-2x+1=0`
`<=> x^2 -3x =0`
`<=> x(x-3)=0`
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x-3=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\left(ktm\right)\\x=3\end{matrix}\right.\)
__
`(x+2)(5-3x)=0`
\(\Leftrightarrow\left[{}\begin{matrix}x+2=0\\5-3x=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-2\\3x=5\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-2\\x=\dfrac{5}{3}\end{matrix}\right.\)
__
\(\dfrac{5\left(1-2x\right)}{3}+\dfrac{x}{2}=\dfrac{3\left(x-5\right)}{4}-2\)
\(\Leftrightarrow\dfrac{20\left(1-2x\right)}{12}+\dfrac{6x}{12}=\dfrac{9\left(x-5\right)}{12}-\dfrac{24}{12}\)
`<=> 2x- 40x + 6x = 9x - 45 -24`
`<=> 2x- 40x + 6x-9x + 45 +24=0`
`<=>-41x+69=0`
`<=>-41x=-69`
`<=> x=69/41`
a:=>x^2-1-x=2x-1
=>x^2-x-1=2x-1
=>x^2-3x=0
=>x=0(loại) hoặc x=3(nhận)
b:=>x+2=0 hoặc 5-3x=0
=>x=-2 hoặc x=5/3
c:=>20(1-2x)+6x=9(x-5)-24
=>20-40x+6x=9x-45-24
=>-34x+20=9x-69
=>-43x=-89
=>x=89/43
d: =>x^2+4x+4-x^2-2x+3=2x^2+8x-4x-16-3
=>2x^2+4x-19=-2x+7
=>2x^2+6x-26=0
=>x^2+3x-13=0
=>\(x=\dfrac{-3\pm\sqrt{61}}{2}\)
e: =>(2x-3)(2x-3-x-1)=0
=>(2x-3)(x-4)=0
=>x=4 hoặc x=3/2
Bài 1: Cho 2 số tự nhiên a,b (b>a). Biết a+3 và b-3 chia hết cho 4, C/M (b-a)(a+b) chia hết cho 4.
Bài 2: Tính giá trị của M= (3x+2)(2x-3)- 6y(2x-y-1)- 3x+ 2y+ 2027, biết x- y= 2.
Help me pls, mình đang gấp lắm.
Bài 1
ta có a+3+b-3 =a +b chia hết cho 4
nên (b-a )(a+b) cũng chia hết cho 4
bài 2.
ta có: \(M=6x^2-5x-6-12xy+6y^2+6y-3x+2y+2027\)
\(=6\left(x-y\right)^2-8\left(x-y\right)+2021=24-16+2021=2029\)
Giai giup minh cac phuong trinh nay voi a !!!! hepl pls
a) P = \(\left\{x\in R|x^4-3x^3-6x^2+3x+1=0\right\}\)
b) Q=\(\left\{x\in R|\text{x^4 + 6x^3 + 6x^2 -6x +1 = 0 }\right\}\)
Tìm x biết a) x(x-25)=0 b)2x(x-4)-x(2x-1)=-28 c)x^2 -5x=0 d)(x-2)^2-(x+1)(x+3)=-7 e)(3x+5).(4-3x)=0 f)x^2-1/4=0
a: \(x\in\left\{0;25\right\}\)
c: \(x\in\left\{0;5\right\}\)
Xét sự biến thiên của hàm số sau:
1, \(y=4-3x\)
2, \(y=x^2+4x-5\)
3, \(y=\dfrac{x}{x-1}trên\left(-\infty;1\right)\)
4, \(y=\dfrac{2}{x-2}trên\left(-\infty;2\right)vàtrên\left(2;+\infty\right)\)
Hi guys, please help me :))))
I need it now !!!!
1 nghịch biến(a<0)
2 đồng biến
3,4 thay các g trị tm đk vào
hojk tốt