Tìm \(x:\)\(\frac{24,3}{x+16}=\frac{40,8}{x+71}\)
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Bài 2:
a: =>x:16=30,34+3,4-24,3=9,44
=>x=151,04
b: Đề thiếu rồi bạn
#)Giải :
\(71+65.4=\frac{x+140}{x}+260\)
\(\frac{x+140}{x}+260=71+65.4\)
\(\frac{x+140}{x}+260=71+260\)
\(\frac{x+140}{x}=71\)
\(\frac{x}{x}+\frac{140}{x}=71\)
\(1+\frac{140}{x}=71\)
\(\frac{140}{x}=71-1\)
\(\frac{140}{x}=70\)
\(x=140:70\)
\(x=2\)
#~Will~be~Pens~#
\(71+65.4=\frac{x+140}{x}+260\)
\(\Rightarrow\frac{x+140}{x}+260=71+65.4\)
\(\frac{x+140}{x}+260=331\)
\(\frac{x+140}{x}=331-260=71\)
\(\frac{x}{x}+\frac{140}{x}=71\)
\(1+\frac{140}{x}=71\)
\(\frac{140}{x}=71-1=70\)
\(x=\frac{140}{70}=2\)
Vậy x=2
\(\left(x+\frac{1}{2}\right)+\left(x+\frac{1}{4}\right)+\left(x+\frac{1}{8}\right)+\left(x+\frac{1}{16}\right)=\frac{23}{16}\)
\(4x+\frac{15}{16}=\frac{23}{16}\)
\(4x=\frac{1}{2}\)
\(x=\frac{1}{8}\)
Vậy \(x=\frac{1}{8}\)
\(\left(x+\frac{1}{2}\right)+\left(x+\frac{1}{4}\right)+\left(x+\frac{1}{8}\right)+\left(x+\frac{1}{16}\right)=\frac{23}{16}\)
\(\Rightarrow\left(x+x+x+x+x\right)+\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\right)=\frac{23}{16}\)
\(\Rightarrow5x+\frac{15}{32}=\frac{23}{16}\)
\(\Rightarrow5x=\frac{23}{16}-\frac{15}{32}\)
\(\Rightarrow5x=\frac{31}{32}\)
\(\Rightarrow x=\frac{31}{32}.\frac{1}{5}=\frac{31}{160}\)
=> \(\frac{56}{3}\) - [x.(1,73+3,27)] = \(\frac{71}{4}\)
=> 5x = \(\frac{56}{3}\) - \(\frac{71}{4}\) =\(\frac{11}{12}\)
=> x= \(\frac{11}{12}\) : 5= \(\frac{11}{60}\) Vậy x= \(\frac{11}{60}\)
\(18\frac{2}{3}-5x=\frac{71}{4}\)
\(5x=\frac{56}{3}-\frac{71}{4}=\frac{11}{12}\)
\(x=\frac{11}{12}\div5=\frac{11}{60}\)
câu này ở trong Violympic nên mình nói luôn đáp án là 1/8
Ta có: \(\frac{x+1}{79}+\frac{x+4}{76}=-\frac{x+7}{73}-\frac{x+9}{71}-4\)
\(\Leftrightarrow\frac{x+1}{79}+\frac{x+4}{76}+\frac{x+7}{73}+\frac{x+9}{71}+4=0\)
\(\Leftrightarrow\frac{x+1}{79}+1+\frac{x+4}{76}+1+\frac{x+7}{73}+1+\frac{x+9}{71}+1=0\)
\(\Leftrightarrow\frac{x+80}{79}+\frac{x+80}{76}+\frac{x+80}{73}+\frac{x+80}{71}=0\)
\(\Leftrightarrow\left(x+80\right)\left(\frac{1}{79}+\frac{1}{76}+\frac{1}{73}+\frac{1}{71}\right)=0\)
Vì \(\frac{1}{79}+\frac{1}{76}+\frac{1}{73}+\frac{1}{71}>0\)
nên x+80=0
hay x=-80
Vậy: x=-80
\(\frac{x-144}{10}+\frac{x-130}{12}+\frac{x-112}{14}+\frac{x-106}{16}+\frac{x-96}{17}=15\)
\(\Leftrightarrow\)\(\frac{x-144}{10}-1+\frac{x-130}{12}-2+\frac{x-112}{14}-3+\frac{x-106}{16}-4+\frac{x-96}{17}-5=0\)
\(\Leftrightarrow\)\(\frac{x-154}{10}+\frac{x-154}{12}+\frac{x-154}{14}+\frac{x-154}{16}+\frac{x-154}{17}=0\)
\(\Leftrightarrow\)\(\left(x-154\right)\left(\frac{1}{10}+\frac{1}{12}+\frac{1}{14}+\frac{1}{16}+\frac{1}{17}\right)=0\)
\(\Leftrightarrow\)\(x-154=0\) (do 1/10 + 1/12 + 1/14 + 1/16 + 1/17 khác 0)
\(\Leftrightarrow\)\(x=154\)
Vậy...
\(\frac{24,3}{x+16}=\frac{40,8}{x+71}\)
\(\Rightarrow\left(x+71\right).24,3=\left(x+16\right).40,8\)
\(\Rightarrow24,3x+1725,3=40,8x+652,8\)
\(\Rightarrow16,5x=1072,5\)
\(\Rightarrow x=65\)