Bai 1: Tim x biet :
\(\frac{x+2}{198}+\frac{x+3}{197}=\frac{x+4}{196}+\frac{x+5}{195}\)
tìm x biết:\(\frac{x+1}{199}\)+\(\frac{x+2}{198}\)+\(\frac{x+3}{197}\)+\(\frac{x+4}{196}\)+\(\frac{x+5}{195}\)=-5
chuyển vế rồi tách 5 thành 5 số 1` rồi nhóm vào
tim x:
cau 1:\(\frac{x+1}{199}\)+\(\frac{x+2}{198}\)+\(\frac{x+3}{197}\)+\(\frac{x+4}{196}\)+\(\frac{x+5}{195}\)=(-5)
cau 2:\(\frac{1}{21}\)+\(\frac{1}{28}\)+\(\frac{1}{36}\)+....+\(\frac{2}{x\left(x+1\right)}\)=\(\frac{2}{9}\)
ở câu 1 ở mỗi phẫn số chúng ta cộng thêm 1, tổng là ta cộng thêm 5. Lấy 5 + -5=0. Rồi ta được tất cả tử là x+200,đặt chung ra ngoài,từ đó tính x=-200
Câu 2: => 2/42 + 2/56 + 2/72 + ... + 2/x(x+1) = 2/9
=> 2/6*7+2/7*8+...+2/x(X+1) = 2/9
\(\frac{x+1}{199}+\frac{x+2}{198}+\frac{x+3}{197}+\frac{x+4}{196}+\frac{x+5}{195}=-5\)
\(\left(\frac{x+1}{199}+1\right)+\left(\frac{x+2}{198}+1\right)+\left(\frac{x+3}{197}+1\right)+\left(\frac{x+4}{196}+1\right)+\left(\frac{x+5}{195}+1\right)=0\)
\(\frac{x+200}{199}+\frac{x+200}{198}+\frac{x+200}{197}+\frac{x+200}{196}+\frac{x+200}{195}=0\)
\(\left(x+200\right)\left(\frac{1}{199}+\frac{1}{198}+\frac{1}{197}+\frac{1}{196}+\frac{1}{195}=0\right)\)
\(x+200=0\left(Vì\frac{1}{199}+\frac{1}{198}+\frac{1}{197}+\frac{1}{196}+\frac{1}{195}\right)\)
\(\Rightarrow x=-200\)
tìm x
a)\(\frac{x-5}{195}\)+ \(\frac{x-7}{193}\)= \(\frac{x-2}{198}\)+ \(\frac{x-3}{197}\)
b) \(\frac{x+4}{96}\)+ \(\frac{x+5}{95}\)= \(\frac{x+7}{93}\)+ \(\frac{x+9}{91}\)
Bai 1:a)Tim x biet\(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{2}{x\times\left(x+1\right)}=\frac{2009}{2011}\)
b)\(\left(x-1\right)\times f\left(x\right)=\left(x+4\right)\times f\left(x\right)\)voi moi x
Bai 2;Tim x;y;z biet a)\(\frac{y+z+1}{x}=\frac{x+z+2}{y}=\frac{x+y-3}{z}\) b)\(\frac{2x+1}{5}=\frac{3y-z}{7}=\frac{2x+3y-1}{6x}\)
bai 1: Tim x biet
\(\hept{\begin{cases}x-y=\frac{3}{10}\\y\left(x-y\right)=-\frac{3}{50}\end{cases}}\)
bai 2: Tim x, y biet:
x+\(\left(-\frac{31}{12}\right)^2\)=\(\left(\frac{49}{12}\right)^2\)-x=y2
Bai 9: Tim x,y,z biet:
(x-1)2+(x+y)2+(xy-z)2=0
a) thay \(x-y=\frac{3}{10}\)vào \(y\left(x-y\right)=\frac{-3}{50}\)ta có\(\frac{3}{10}y=\frac{-3}{50}\)=>\(y=\frac{-3}{50}:\frac{3}{10}=\frac{-1}{5}\)=>\(x-y=\frac{3}{10}\Rightarrow x=\frac{3}{10}+\frac{-1}{5}=\frac{1}{10}\)
hôm sau mik giải tip cho
1)Cho A=\(\frac{196}{197}\)+\(\frac{197}{198}\)
B=\(\frac{196+197}{197+198}\)
So sánh A và B
2)Cho B=\(\frac{1}{4}\)+\(\frac{1}{5}+\frac{1}{6}+\frac{1}{7}+...+\frac{1}{19}\).Chứng minh B>1
3)Tính nhanh
\(\frac{\frac{3}{5}+\frac{3}{7}-\frac{3}{11}}{\frac{4}{5}+\frac{4}{7}-\frac{4}{11}}\)
3)
3/5 + 3/7-3/11 / 4/5 + 4/7- 4/11
= 3.( 1/5 + 1/7 - 1/11)/4.(1/5+1/7-1/11)
= 3/4
1,
ta có B = 196+197/197+198 = 196/(197+198) + 197/(197+198)
196/197 > 196/197+198
197/198 > 197/197+198
=> A>B
tìm x
x+1/199 + x+2/198 + x+3/197 + x+4/196 + x+5/195 = -5
1/21 +1/28 +1/36 +........+2/ x(x+1)=2/9
Tim x biet
Bai 1: Tim cap so (x,y) biet: \(\frac{1+3y}{12}=\frac{1+5y}{5x}=\frac{1+7y}{4x}\)
Bai 2; Cho \(\frac{a}{b}\)=\(\frac{b}{c}\)=\(\frac{c}{a}\)va a,b,c khac ; a=2012. tinh b,c
Bai 3: tim cac so x,y,z biet :
\(\frac{y+x+1}{x}\)=\(\frac{x+z+2}{y}\)=\(\frac{x+y-3}{z}\)=\(\frac{1}{x+y+z}\)
Bai 4: Tim x, biet rang:\(\frac{1+2y}{18}=\frac{1+4y}{24}=\frac{1+6y}{6x}\)
giup minh di minh dang rat gap cam on
bài 4 : Ta có : \(\frac{1+2y}{18}=\frac{1+4y}{24}\left(1\right)\)
\(\Rightarrow24+48y=18+72y
\)
\(\Rightarrow y=\frac{1}{4}\)
\(\frac{1+4y}{24}=\frac{1+6y}{6x}\left(2\right)\)
Thay y = \(\frac{1}{4}\) vào (2) ta được x = 5 (thõa mãn )
Ta có VT=\(\frac{y+z+1}{x}=\frac{x+z+2}{y}=\frac{x+y-3}{z}=\frac{1}{x+y+z}\)
=\(\frac{2\left(x+y+z\right)}{x+y+z}\)=2 (1) => x+y+z=\(\frac{1}{2}\) <=> \(y+z=\frac{1}{2}-x\)
<=> \(x+z=\frac{1}{2}-y\)
<=> \(x+y=\frac{1}{2}-z\)
Thay \(y+z=\frac{1}{2}-x\)vào (1) ta có:.................................................................
Lúc nào tớ rảnh thì gửi thêm!!!!!!!!!!!!!!!!!!!!!!!!!
\(\left(x-20\right)\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{200}}{\frac{1}{199}+\frac{2}{198}+\frac{3}{197}+...+\frac{198}{2}+\frac{199}{1}}=\frac{1}{2000}\)
Đặt: \(\frac{1}{199}+\frac{2}{198}+\frac{3}{197}+...+\frac{199}{1}\)là B
Cộng 1 vào mỗi phần số trừ phân số cuối cùng ta sẽ được:
B= \(\left(\frac{1}{199}+1\right)+\left(\frac{2}{198}+1\right)+...+\left(\frac{198}{2}+1\right)+1\)
=> B= \(\frac{200}{199}+\frac{200}{198}+\frac{200}{197}+...+\frac{200}{2}+1\)
=> B= \(\frac{200}{199}+\frac{200}{198}+\frac{200}{197}+...+\frac{200}{2}+\frac{200}{200}\)
=> B= \(200\left(\frac{1}{200}+\frac{1}{199}+\frac{1}{198}+...+\frac{1}{2}\right)\)
Đặt \(A=\frac{1}{2}+\frac{1}{3}+...+\frac{1}{200}\) => B= \(200\) X A
=> \(\frac{A}{B}\)\(=\frac{1}{200}\)
=> \(\left(x-20\right).\frac{1}{200}=\frac{1}{2000}\)
=>\(x-20\) =\(\frac{1}{2000}:\frac{1}{200}\)
=> \(x-20=\).......................... Bạn tự làm tiếp nhé, chúc bạn học tốt !!!^^\(\)