c) (x2 - 1)10 + (y2 - 36)12 ≤ 0
help me mai phai nop roi T_T
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\(\left(\frac{1}{2}x-5\right)^{29}\)ko làm đc
Phải mũ chẵn mới ra
\(\left(x-3\right)^2+\left(y+5\right)^2=0\)
Vì (x-3)^2 >=0 và (y+5)^2>=0 nên suy ra:
x-3=0 và y+5=0
=> x=3 và y=-5
B2:
ab=6 => abc=6c
bc=12=>abc=12a
ac=8=>abc=8b
=>6c=12a=8b
=>c=2a
=>ac=2a^2=8
=>a^2=4
=>a=2 hoặc a=-2
Với a=2 suy ra b=3 và c=4
Với a=-2 suy ra b=-3 và c=-4
A robot cannot think or do things alone. People use a computer to control it. Today, robots is not very popular because they are too expensive, but they are very useful. they can help us save a lot of time and work. A robot can do the same work for 24 hours, and yet, it dose not complain or fet tired. In the US, people use robots to guard some inportant places. These robots can listen to certain noises and send signal for help if there's trouble or danger. In Janpan, people use robors in factories to build cars. In the future, scientists will desigh many tyles of interlligent robots. Their robots will be able to do many more complicated things.
Charity is the process of giving or helping someone either by money or by physical help. A real person is that who helps others but giving comfort to his or her family members or relatives too. Charity always should begins from home, if your family members or relatives are not in well condition and you are working for social services then it is your duty to first help your closer ones who are completely depended on you then should help others.
Some people who are selfish and help others for their personal advantage, this kind of people even forget the real meaning of charity, they just do a business deal in form of charity. A true person who is in favour of charity will always take care of his loved ones first and then help others physically or financially. Being polite, humble and generous to your family is the real meaning of charity begins at home. For a person who works outside the house for social services is primarily needed by his or her kids or elder person, this is the charity at home. Thus, family and your self is your first priority before helping and serving others.
(x-2).(2y+3)=26
=>26\(⋮\)2y+3
=>2y+3\(\in\)Ư(26)={1;2;13;26}
Mà 2y+3 là lẻ
=>2y+3\(\in\){1;13}
Ta có bảng:
2y+3 | 1 | 13 |
x-2 | 26 | 2 |
y | -1(loại) | 5 |
x | 28 | 4(thỏa mãn) |
Vậy (x,y)=(4;5)
Chúc bn học tốt
Các phần khác làm tương tự phần b trừ phần a
d: Xét ΔFAC có
AE,CH là đường cao
AE cắt CH tại D
=>D là trực tâm
=>FD vuông góc AC
Xét ΔAHD và ΔAEF có
góc HAD chung
góc AHD=góc AEF
=>ΔAHD đồng dạng với ΔAEF
=>AD/AF=AH/AE
=>AD*AE=AH*AF
FD vuông góc AC
AB vuông góc AC
=>FD//AB
=>góc FDH=góc ABH
Xét ΔFHD và ΔAHB có
góc EHD=góc AHB
góc FDH=góc ABH
=>ΔFHD đồng dạng với ΔAHB
=>FD=AB và FH=AH
FD//AB
FD=AB
=>ABFD là hbh
=>BF=AD
AH=HF
=>AF=2*AH
=>AH=AF/2
AF*AH=AD*AE
=>AF*AF/2=BF*AE
=>AF^2=2*BF*AE
(-2x).(-4x)+28=100 5x.(-x)^2+1=6 3x^2+12x=0 4x^3=4x
x.(-2-4)=100-28 5x.x^2=6-1 3x(x+4)=0 4x^3-4x=0
-6x=72 5.x^3=5 =>3x=0 hoặc x+4=0 4x(x^2-1)=0
x=-12 x^3=1 (bạn tự giải nốt nhé) =>4x=0 hoặc x^2-1=0
x=1 t.hợp1:x^2-1=0
x^2=1=> ko có gtrị nào của x thỏa mãn
(t.hợp còn lại bạn tự giải nhé)
c) \(\left(x^2-1\right)^{10}+\left(y^2-36\right)^{12}\le0\)
Ta có:
\(\left\{{}\begin{matrix}\left(x^2-1\right)^{10}\ge0\\\left(y^2-36\right)^{12}\ge0\end{matrix}\right.\forall x,y.\)
\(\Rightarrow\left(x^2-1\right)^{10}+\left(y^2-36\right)^{12}\ge0\) \(\forall x,y.\)
Mà \(\left(x^2-1\right)^{10}+\left(y^2-36\right)^{12}\le0\)
\(\Rightarrow\left(x^2-1\right)^{10}+\left(y^2-36\right)^{12}=0\)
\(\Rightarrow\left\{{}\begin{matrix}\left(x^2-1\right)^{10}=0\\\left(y^2-36\right)^{12}=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x^2-1=0\\y^2-36=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x^2=1\\y^2=36\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\left[{}\begin{matrix}x=1\\x=-1\end{matrix}\right.\\\left[{}\begin{matrix}y=6\\y=-6\end{matrix}\right.\end{matrix}\right.\)
Vậy \(\left(x;y\right)\in\left\{1;6\right\},\left\{-1;-6\right\}.\)
Chúc bạn học tốt!
cảm ơn bạn nhiều nhiều nha