chứng minh các đăng thức sau
128x912=186
7520=4510x530
Những câu hỏi liên quan
sử dụng bất đăngt thức vừa chứng minh và đẳng thức |a| = |a+b+(-b)| để chứng minh bất đăng thức |a|-|b| < |a+b|
Chứng minh bất đăng thức bằng phương pháp xét hiệu:a<b , d<c .chứng minh ac<bd
Chứng minh đăng thức 2+5+8...+(3n-1)=[n(3n+1)]/2 ;với mọi n thuộc N*
Tui làm theo cách tiểu học, để mai nghĩ xem có cách nào làm "cấp 3" ko
2+3=5; 5+3=8
Số số hạng: \(\dfrac{3n-1-2}{3}+1=n\left(so-hang\right)\)
Tổng: \(\dfrac{\left(3n-1+2\right).n}{2}=\dfrac{n\left(3n+1\right)}{2}\)
Đúng 0
Bình luận (0)
Chứng minh bất đăng thức: a3 + b3 + 1 >= ab+a+b
Chứng minh bất đăng thức luôn đúng với mọi a,b,c
1/a +1/b +1/c ≥ 9/a+b+c
Áp dụng bđt AM-GM ta có:
\(\frac{1}{a}+\frac{1}{b}+\frac{1}{c}\ge3\sqrt[3]{\frac{1}{abc}}\)
\(a+b+c\ge3\sqrt[3]{abc}\)
Nhân 2 vế của đẳng thức trên ta được:
\(\left(a+b+c\right)\left(\frac{1}{a}+\frac{1}{b}+\frac{1}{c}\right)\ge9\)
\(\Rightarrow\frac{1}{a}+\frac{1}{b}+\frac{1}{c}\ge\frac{9}{a+b+c}\)
Áp dụng BDT svacxo ta có:
\(\frac{1}{a}+\frac{1}{b}+\frac{1}{c}\ge\frac{\left(1+1+1\right)^2}{a+b+c}=\frac{9}{a+b+c}\)
Dấu = khi a=b=c
Học tốt
Trả lời :
- Hai bn kia làm đúng
- Chúc học tốt
- Tk cho mk nha
Chứng minh đăng thức:
\(\dfrac{x^2+ax+ab+bx}{3bx-a^2-ax+3ab}=\dfrac{x+b}{3b-a}\)
- Xét tử:
\(x^2+ax+ab+bx\)
\(=x\left(x+a\right)+b\left(x+a\right)\)
\(=\left(x+a\right)\left(x+b\right)\)
- Xét mẫu:
\(3bx-a^2-ax+3ab\)
\(=3bx+3ab-a^2-ax\)
\(=3b\left(x+a\right)-a\left(a+x\right)\)
\(=\left(x+a\right)\left(3b-a\right)\)
Vậy \(\dfrac{x^2+ax+ab+bx}{3bx-a^2-ax+3ab}=\dfrac{\left(x+a\right)\left(x+b\right)}{\left(x+a\right)\left(3b-a\right)}=\dfrac{x+b}{3b-a}\) với \(x\ne-a\)
Đúng 0
Bình luận (0)
Ta có: \(VT=\dfrac{x^2+ax+ab+bx}{3bx-a^2-ax+3ab}\)
\(=\dfrac{x\left(a+x\right)+b\left(a+x\right)}{3b\left(x+a\right)-a\left(a+x\right)}\)
\(=\dfrac{\left(b+x\right)\left(a+x\right)}{\left(3b-a\right)\left(a+x\right)}=\dfrac{b+x}{3b-a}=VP\)
\(\Rightarrowđpcm\)
Đúng 0
Bình luận (0)
câu hỏi cho các bạn nèslenderman có thật không hãy chứng minh điều đóký tên: the oceankhông đăng nội dung ai đăng thì sẽ...............................................................................................................................................................................................................................................................................................................................................................................................
Đọc tiếp
câu hỏi cho các bạn nè
slenderman có thật không
hãy chứng minh điều đó
ký tên: the ocean
không đăng nội dung ai đăng thì sẽ......................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................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......................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................chết
Toàn đăng mấy cái linh tinh
Report luôn
Đúng 0
Bình luận (0)
WTF HỎI ÉO GÌ ĐẤY VỪA RA VIỆN TÂM THẦN À ĐỒ ĐIÊN VÀ..........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................T............................................................................................................................................................................................................................H...........................................................................................................Ầ..............................................................................................................................................................................................................................................................N............................................................................................................................................................................................................................................................................................................................................................KINH
Đúng 0
Bình luận (0)
Cho các đơn thức:A=\(-\frac{1}{2}x^2yz^2,B=-\frac{3}{4}xy^2z^2,C=x^3y\)
Chứng minh rằng:các đơn thức A, B, C ko thể cùng nhận giá trị âm
Lm luôn cái bài hôm qua tui đăng vs ạ~~
Giả sử A, B, C cùng nhận giá trị âm
Mà ABC=\(-\frac{1}{2}x^2yz^2.\left(-\frac{3}{4}\right)xy^2z^2.x^3y=\frac{3}{8}x^6y^4z^4\ge0\)
=> 3 số cùng dương hoặc 3 số phải cùng âm
=> Trái với giả thiết
=> Đpcm
Giả sử A,B,C cùng nhận giá trị âm
Suy ra tích của chúng <o
Mà\(ABC=\frac{-1}{2}x^2yz^2\frac{-3}{4}xy^2z^2x^3y=\frac{3}{8}x^6y^4z^4>0\)
Suy ra mâu thuẫn
Suy ra.........................(đpcm)
Chứng minh đăng thức :
-a*( c-d) - d*( a+c) = -c*( a+d)
Giúp mình nhé! Gấp lắm!!!!!!!!!!!!!!!!!!!!!!
Mình sẽ tick cho bạn nòa trả lời nhanh và đúng nhất!Thanks!
+)Ta có:(-a).(c-d)-d.(a+c)
=(-a)c-(-a).d-da+dc
=(-a)c+ad-da+dc
=(-a).c+dc
=-c.(a+d) (ĐPCM)
Chúc bn học tốt
\(VT=-a\left(c-d\right)-d\left(a+c\right)\)
\(=-ac+ad-ad-cd\)
\(=-ac-cd\)
\(=-c\left(a+d\right)=VP\left(đpcm\right)\)