Tìm x, biết:
\(\frac{x+5}{200}+\frac{x+4}{201}=\frac{x+3}{202}+\frac{x+2}{203}\)
Tìm x biết: \(\frac{x+1}{203}+\frac{x+2}{202}+\frac{x+3}{201}+\frac{x+4}{200}+\frac{x+5}{199}\)
Ủa ko có vế phải thì mình làm bằng niềm tin à? :D
a) \(\frac{x+1}{10}+\frac{x+1}{11}+\frac{x+1}{12}=\frac{x+1}{13}+\frac{x+1}{14}\)
b) \(\frac{x+4}{200}+\frac{x+3}{201}=\frac{x+2}{202}+\frac{x+1}{203}\)
a) \(\frac{x+1}{10}+\frac{x+1}{11}+\frac{x+1}{12}=\frac{x+1}{13}+\frac{x+1}{15}\)
\(\frac{181\left(x+1\right)}{660}=\frac{x+1}{13}+\frac{x+1}{14}\)
\(\frac{181\left(x+1\right)}{660}=\frac{17\left(x+1\right)}{52}\)
\(2353\left(x+1\right)=2805\left(x+1\right)\)
\(2353x+2353=2805x+2805\)
\(2353=2805x+2805-2353x\)
\(2353=452x+2805\)
\(2353-2805=452x\)
\(-452=452x\)
\(x=-1\)
Tìm x, biết: \(\frac{2-x}{201}+\frac{x}{203}=\frac{1-x}{202}+1\)
<=> (2-x/201 + 1) + (x/203 - 1) = (1-x/202 + 1) + (1-1)
<=> 203-x/201 + x-203/203 = 203-x/202
<=> 203-x/201 - 203-x/203 - 203-x/202 = 0
<=> (203-x).(1/201-1/203-1/202) = 0
<=> 203-x = 0 ( vì 1/201-1/203-1/202 khác 0 )
<=> x=203
Vậy x=203
k mk nha
BT1: Tìm chữ số tận cùng của \(2015^{2014}-2014^{2015}\)
BT2: Cho đa thức: \(f\left(x\right)=a\times x+b\) biết \(f\left(1\right)=1;f\left(2\right)=4\)Tìm a;b
BT3: Cho \(\frac{a+b+c}{a+b-c}=\frac{a-b+c}{a-b-c}\left(b\ne0\right)\)Tìm c
BT4: Tìm x biết: \(\frac{x+1}{203}+\frac{x+2}{202}+\frac{x+3}{201}+\frac{x+4}{200}+\frac{x+5}{199}+5=0\)
BT5 Tính \(S=1\times2+2\times3+3\times4+4\times5+...+49\times50\)
Bạn nào giải xong trước mình kích cho nhé(nhớ giải hết bài của mình nha!)!!!
BT1: 20152014 có tận cùng là 5
20142015=2014.(20142)1007=2014.40561961007=2014.(...6) => Có tận cùng là ...4
=> 20152014-20142015 có tận cùng là ...5-...4=...1
BT2: f(1)=a.1+b=1 (1)
f(2)=a.2+b=4 (2)
Trừ (2) cho (1) => a=3
Thay a=3 vào (1) => b=-2
ĐS: a=3; b=-2
Sao ko ai trả lời vậy?! Bộ câu của mình khó quá ak???
1/TÍNH NHANH
a/ \(\frac{\left(2^3.5.7\right).\left(5^2.7^3\right)}{\left(2.5.7^2\right)^2}\)
2/so sánh
a/\(\frac{2009}{2010}va\frac{2010}{2011}\) b/\(\frac{1}{3^{400}}va\frac{1}{4^{300}}\) c/\(\frac{200}{201}+\frac{201}{202}va\frac{200+201}{201+202}\) d/\(\frac{2008}{2008+2009}va\frac{2009}{2009+2010}\)
3/TÌM X BIẾT
\(\left(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+....+\frac{2}{97.99}\right)-x=\frac{-100}{99}\)
GIÚP MÌNH NHA MAI MÌNH NỘP RÙI
a/\(\frac{\left(2^3.5.7\right).\left(5^2.7^3\right)}{\left(2.5.7^2\right)^2}\)
=\(\frac{2^3.5^3.7^4}{2^2.5^2.7^4}\)
=2.5
=10
\(\frac{x+199}{200}+\frac{x+198}{201}+\frac{x+197}{202}=-3\)
\(\frac{x+199}{200}+\frac{x+198}{201}+\frac{x+197}{202}=-3\)
\(\frac{x+199}{200}+1+\frac{x+198}{201}+1+\frac{x+197}{202}+1=0\)
\(\frac{x+399}{200}+\frac{x+399}{201}+\frac{x+399}{202}=0\)
\(\left(x+399\right)\left(\frac{1}{200}+\frac{1}{201}+\frac{1}{202}\right)=0\)
Mà \(\left(\frac{1}{200}+\frac{1}{201}+\frac{1}{202}\right)\ne0\)
=> x + 399 = 0
=> x = -399
BT: Tìm x biết: \(\frac{x+1}{203}+\frac{x+2}{202}+\frac{x+3}{201}+\frac{x+4}{200}+\frac{x+5}{199}+5=0\)
Giúp mình với mình cần gấp mai mình học rồi!!! Cảm ơn các bạn nhiều!!!
\(\frac{x+1}{203}+\frac{x+2}{202}+\frac{x+3}{201}+\frac{x+4}{200}+\frac{x+5}{199}+5=0\)
\(\Leftrightarrow\frac{x+1}{203}+1+\frac{x+2}{202}+1+\frac{x+3}{201}+1+\frac{x+4}{200}+1+\frac{x+5}{199}+1=0\)
\(\Leftrightarrow\frac{x+204}{203}+\frac{x+204}{202}+\frac{x+204}{201}+\frac{x+204}{200}+\frac{x+204}{199}=0\)
\(\Leftrightarrow\left(x+204\right)\left(\frac{1}{203}+\frac{1}{203}+\frac{1}{201}+\frac{1}{200}+\frac{1}{199}\right)=0\)
\(\Leftrightarrow x+204=0\).Do \(\frac{1}{203}+\frac{1}{203}+\frac{1}{201}+\frac{1}{200}+\frac{1}{199}\ne0\)
\(\Leftrightarrow x=-204\)
Ta có :
\(\frac{x+1}{203}+\frac{x+2}{202}+\frac{x+3}{201}+\frac{x+4}{200}+\frac{x+5}{199}+5=0\)
\(\Leftrightarrow\left(\frac{x+1}{203}+1\right)+\left(\frac{x+2}{202}+1\right)+\left(\frac{x+3}{201}+1\right)+\left(\frac{x+4}{200}+1\right)+\left(\frac{x+5}{199}+1\right)=0\)
\(\Leftrightarrow\left(\frac{x+204}{203}\right)+\left(\frac{x+4}{202}\right)+\left(\frac{x+4}{201}\right)+\left(\frac{x+204}{200}\right)+\left(\frac{x+204}{199}\right)=0\)
\(\Leftrightarrow\left(x+204\right)\left(\frac{1}{203}+\frac{1}{202}+\frac{1}{201}+\frac{1}{200}+\frac{1}{199}\right)=0\)
Dễ thấy \(\left(\frac{1}{203}+\frac{1}{202}+\frac{1}{201}+\frac{1}{200}+\frac{1}{199}\right)\ne0\)
=> x + 204 = 0
<=> x = - 204
Vậy pt có nghiệm x = - 204
tìm x biết x+4/200 + x+3/201= x+2/202 x +1/203
Ta có : \(\frac{x+4}{200}+\frac{x+3}{201}=\frac{x+2}{202}+\frac{x+1}{203}\)
=> \(\frac{x+4}{200}+\frac{x+3}{201}-\frac{x+2}{202}-\frac{x+1}{203}=0\)
=> \(\frac{x+4}{200}+1+\frac{x+3}{201}+1-\frac{x+2}{202}-1-\frac{x+1}{203}-1=0\)
=> \(\frac{x+204}{200}+\frac{x+204}{201}-\frac{x+204}{202}-\frac{x+204}{203}=0\)
=> \(\left(x+204\right)\left(\frac{1}{200}+\frac{1}{201}-\frac{1}{202}-\frac{1}{203}\right)=0\)
=> \(x+204=0\)
=> \(x=-204\)
Vậy phương trình có tập nghiệm là S = { -204 }
tim x
a,\(\left(x-20\right)+\left(x-19\right)+\left(x-18\right)+....+200+201=201\)
b, \(\frac{x+1}{1}+\frac{2x+3}{3}+\frac{3x+5}{5}+....+\frac{20x+39}{39}=22+\frac{4}{3}+\frac{6}{5}+...+\frac{40}{39}\)