Tim x thuoc Z:
a, -8 ⋮ 2x + 1
b, -54 ⋮ 4x - 1
tim x thuoc z de cac phan so sau co gia tri la sô nguyên
a , A=3/2-1
b, B=4x+1/2x+3
c C=x+7x+4
b)
ĐKXĐ: \(x\ne-\dfrac{3}{2}\)
Để phân số \(B=\dfrac{4x+1}{2x+3}\) là số nguyên thì \(4x+1⋮2x+3\)
\(\Leftrightarrow4x+6-5⋮2x+3\)
mà \(4x+6⋮2x+3\)
nên \(-5⋮2x+3\)
\(\Leftrightarrow2x+3\inƯ\left(-5\right)\)
\(\Leftrightarrow2x+3\in\left\{1;-1;5;-5\right\}\)
\(\Leftrightarrow2x\in\left\{-2;-4;2;-8\right\}\)
hay \(x\in\left\{-1;-2;1;-4\right\}\)(thỏa ĐK)
Vậy: \(x\in\left\{-1;-2;1;-4\right\}\)
Tìm giá trị x, y, z:
a. (5x-2)(-1/3-2x)=0
b. x/2=y/3 với xy=54
c. x+2x+3x+4x+...+100x=-213
a: =>5x-2=0 hoặc 2x+1/3=0
=>x=-1/6 hoặc x=2/5
b: Đặt x/2=y/3=k
=>x=2k; y=3k
xy=54
=>6k^2=54
=>k^2=9
=>k=3 hoặc k=-3
TH1: k=3
=>x=6; y=9
TH2: k=-3
=>x=-6; y=-9
c: =>5050x=-213
=>x=-213/5050
Cho:
Q=(\(\dfrac{2x-x^2}{2x^2+8}\)-\(\dfrac{2x^2}{x^3-2x^2+4x-8}\)).(\(\dfrac{2}{x^2}\)+\(\dfrac{1-x}{x}\))
a, Tim dieu kien xac dinh
b, rut on q
c, Tinh Q khi x=2017
d, Tim x thuoc Z de Q thuoc Z
GIUP MINH VOI CAN GAP LAM!!!
đề: tìm x E Z:
a) 23 chia hết cho x +1
b) 17 chia hết cho x-1
c) 5 x +7 chia hết cho x+1
a, Tim x biet:/x-2/+/3-2x/=2x+1
b, Tim x,y thuoc Z biet:xy+2x-y=5
c, tim x,y,z, biet :2x=3y;4y=5zva 4x-3y+5z=7
1, Tìm x, y thuộc Z:
a, x7 −12 =1y+1
b, 5x −y4 =18
c, 2y −1x =8x·y +1
2, Tìm a, b, c thuộc N:
1a +1b +1c =43
1) PTTNT
a) x^2 - 4x^2y + 4xy
b)x^2 + 3x + x - 3y
2) Tim GTLN
-2x^2 + 3x - 5
3) tim x,y thuoc z
3xy + 6x - y = 7
Bài 2:
\(A=-2x^2+3x-5\)
\(=-2\left(x^2+\frac{3x}{2}-\frac{5}{2}\right)\)
\(=-2\left(x^2-\frac{3x}{2}+\frac{9}{16}\right)-\frac{31}{8}\)
\(=-2\left(x-\frac{3}{4}\right)^2-\frac{31}{8}\le-\frac{31}{8}\)
Dấu = khi \(-2\left(x-\frac{3}{4}\right)^2=0\Leftrightarrow x-\frac{3}{4}=0\Leftrightarrow x=\frac{3}{4}\)
Vậy \(Max_A=-\frac{31}{8}\Leftrightarrow x=\frac{3}{4}\)
Bài 1:
a)x2-4x2y+4xy
=x(x-4xy+y)
b)đề sai
Bài 3:
3yx + 6x - y = 7
<=> x(3y+6) - (3y+6) = 27
<=> (3y+6)(x+1) = 27
Ta có bảng sau:
x+1 | 1 | -1 | 3 | -3 | 9 | -9 | 27 | -27 | |
3y+6 | 27 | -27 | 9 | -9 | 3 | -3 | 1 | -1 | |
x | 0 | -2 | 2 | -4 | 8 | -10 | 26 | -28 | |
y | 7 | -11 | 1 | -5 | -1 | -3 | \(-\frac{5}{3}\) | \(-\frac{7}{3}\) |
Vậy...
cho P=(2x-1)(x+2)/(2x+1)
Tim x thuoc Z để P thuoc Z
tim x thuoc Z biết
a) 13- ( 2x-11 ) =-15
b) 17-(13-2x) =x+11
c) 17-/ 3x-2 / =7
d) / 4x/ =2x+2
các bn oi dau / nay la gia tri tuyet doi day
a) 13 - ( 2x - 11 ) = -15
=> 2x - 11 = 13 - ( -15 )
=> 2x - 11 = 28
=> 2x = 28 + 11
=> 2x = 39
=> x = 39 : 2
=> x = 19,5
Mấy câu khác bn tự giải nha!Cũng tương tự như vậy thôi!
a/ \(13-\left|2x-11\right|=-15\)
\(\Leftrightarrow\left|2x-11\right|=28\)
\(\Leftrightarrow\orbr{\begin{cases}2x-11=28\\2x-11=-28\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=19,5\\x=-8,5\end{cases}}\)
Vậy ...
b/ \(17-\left(13-2x\right)=x+11\)
\(\Leftrightarrow17-13+2x=x+11\)
\(\Leftrightarrow5+2x=x+11\)
\(\Leftrightarrow2x-x=11-5\)
\(\Leftrightarrow x=6\)
Vậy ,,,
b/ \(17-\left|3x-2\right|=7\)
\(\Leftrightarrow\left|3x-2\right|=10\)
\(\Leftrightarrow\orbr{\begin{cases}3x-2=10\\3x-2=-10\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}3x=12\\3x=-8\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=4\\x=-\frac{8}{3}\end{cases}}\)
Vậy ...
d/ \(\left|4x\right|=2x+2\)
\(\Leftrightarrow\orbr{\begin{cases}2x+2=4x\\2x+2=-4x\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}2x-4x=2\\2x+4x=2\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}-2x=2\\6x=2\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-1\\x=\frac{1}{3}\end{cases}}\)