Tim x thuoc N sao cho x/9 < 7/x < x/6.
Tim x thuoc N sao cho x/9 < 7/x < x/6
3) Tim n thuoc Z sao cho :
a)3n+1chia het cho (n-2)
b)4n-3 chia het cho (2n+3)
4)tim x,y thuoc Z sao cho :
a)xy-3x-y-6=7
b)2xy+10y + x =5
ai nhanh minh tick cho
Bai 1:
a) Cho A = 963 + 351 + x voi x thuoc N . Tim dieu kien cua x de A chia het cho 9 , de A khong chia hat cho 9
b) Cho B = 10 + 25 + x + 45 voi x thuoc N . Tim dieu kien cua x De B chia het cho 5 , B khong chia het cho 5
Bai 2 : Tim x thuoc N biet :
a) 1 + 2 + 3 + ..... + n = 325
b) 1 + 3 + 5 +... + ( 2n+1) = 144
c) 2 + 4 + 6 + ... + 2n = 756
tim x,y thuoc N (x-7).(xy+1)=9
\(\left(x-7\right)\left(xy+1\right)=9=3.3=\left(-3\right).\left(-3\right)=1.9=9.1\)
\(=\left(-9\right).\left(-1\right)=\left(-1\right).\left(-9\right)\)
Giả thiết 1:
\(\left(x-7\right)\left(xy+1\right)=3.3\)
\(\Rightarrow\left(x-7\right)=3;\left(xy+1\right)=3\)
\(\Rightarrow x=10\)
Thay x=10 vào
\(\left(xy+1\right)=3\Leftrightarrow\left(10y+1\right)=3\Rightarrow y=\frac{1}{5}\)
Tương tự làm các trường hợp tiếp theo nhé!
tim n thuoc N sao cho 1000<x<15000 ma tich chia x cho 9 va 655 deu du 210
1/tim n thuoc N sao cho:
a/(2n+12) chia het cho (n+2)
b/(3n+5) chia het cho (n-2)
2/ tim x sao cho:
a/(x+3).(x^2+1)=0
b/(x+7).(x^2-36)=0
a/ \(2n+12⋮n+2\)
Mà \(n+2⋮n+2\)
\(\Leftrightarrow\hept{\begin{cases}2n+12⋮n+2\\2n+4⋮n+2\end{cases}}\)
\(\Leftrightarrow8⋮n+2\)
\(\Leftrightarrow n+2\inƯ\left(8\right)\)
Suy ra :
+) n + 2 = 1 => n = -1 (loại)
+) n + 2 = 2 => n = 0
+) n + 2 = 4 => n = 2
+) n + 2 = 8 => n = 6
Vậy ......
b/ \(3n+5⋮n-2\)
Mà \(n-2⋮n-2\)
\(\Leftrightarrow\hept{\begin{cases}3n+5⋮n-2\\3n-6⋮n-2\end{cases}}\)
\(\Leftrightarrow11⋮n+2\)
\(\Leftrightarrow n+2\inƯ\left(11\right)\)
\(\Leftrightarrow\orbr{\begin{cases}n+2=1\\n+2=11\end{cases}}\) \(\Leftrightarrow\orbr{\begin{cases}n=-1\left(loại\right)\\n=9\end{cases}}\)
Vậy ..
a/ \(\left(x+3\right)\left(x^2+1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+3=0\\x^2+1=0\end{cases}}\) \(\Leftrightarrow\orbr{\begin{cases}x=-3\\x^2=-1\left(loại\right)\end{cases}}\)
Vậy ....
b/ \(\left(x+7\right)\left(x^2-36\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+7=0\\x^2-36=0\end{cases}}\) \(\Leftrightarrow\orbr{\begin{cases}x=-7\\x^2=36\end{cases}}\) \(\Leftrightarrow\orbr{\begin{cases}x=-7\\x=6or=-6\end{cases}}\)
Vậy ...
bai 1:tim x
a) (x+1/5)2+17/25=26/25
b)-1va 5/27-(3x-7/9)3=-24/27
bai 2:cho A=n+2/n-5 (n thuoc Z ;n khac 5).Tim x de A thuoc Z
1a. x=-0,8
b)-1va 5/27-(3x-7/9)3=-24/27 mik ko hỉu đề
2.n= 6
tim x thuoc tap hop Z sao cho (x-7)*(x+3)<0
Tim x thuoc Z biet:
a,(10 - x)^2 / 3+3= -9
b,|x-6| *7-(-2)^2= -8+39
a) (10-x)2:3+3=-9
(10-x)2:3=-9-3
(10-x)2:3=-11
(10-x)2=-11.3
(10-x)2=-33
Vô lí vì -33 ko chuyển đc mũ 2
Vậy x e 0
b) |x-6|.7-4=31
|x-6|=(31+4):7
|x-6|=5
\(\Rightarrow\orbr{\begin{cases}x-6=5\Rightarrow5+6=11\\x-6=-5\Rightarrow x=-5+6=1\end{cases}}\)
Vậy.....................................................
a) \(\frac{\left(10-x\right)^2}{3}+3=-9\)
\(\Leftrightarrow\frac{\left(10-x\right)^2}{3}=-12\)
\(\Leftrightarrow\left(10-x\right)^2=-36\)( vô nghiệm vì (10-x)2 \(\ge\)0 với mọi x thuộc Z)
b) |x-6|.7-(-2)2=-8+39
<=> |x-6|.7-4=31
<=> |x-6|.7=35
<=> |x-6|=5
\(\Leftrightarrow\orbr{\begin{cases}x-6=5\\x-6=-5\end{cases}\Leftrightarrow\orbr{\begin{cases}x=11\\x=1\end{cases}}}\)