Tìm x biết :\(\frac{11}{8}+\frac{13}{6}=\frac{85}{x}\)
Kết quả là x =
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\(\frac{11}{8}+\frac{13}{6}=\frac{85}{x}\)
\(\frac{85}{24}=\frac{85}{x}\)
\(x=24\)
\(2x-\frac{2}{11}=1\frac{1}{5}\)
\(2x-\frac{2}{11}=\frac{6}{5}\)
\(2x=\frac{76}{55}\)
\(x=\frac{38}{55}\)
a. \(\frac{11}{8}\)+ \(\frac{13}{6}\)= \(\frac{85}{x}\)
\(\frac{85}{24}\) =\(\frac{85}{x}\)
x = \(\frac{24\cdot85}{85}\)
x = 24
b. 2x - \(\frac{2}{11}\)=1\(\frac{1}{5}\)
2x- \(\frac{2}{11}\)= \(\frac{6}{5}\)
2x = \(\frac{6}{5}\)+\(\frac{2}{11}\)
x = \(\frac{76}{55}\): 2
x = \(\frac{38}{55}\)
Học tốt nha ~~~~~ ỌvỌ
(x+2)/17+(x+4)/15+(x+6)/13=(x+8)/11+(x+10)/9+(x+12)/7
=>(x+2+17)/17+(x+4+15)/15+(x+6+13)/13=(x+8+11)/11+(x+10+9)/9+(x+12+7)/7
=>(x+19)/17+(x+19)/15+(x+19)/13=(x+19)/11+(x+19)/9+(x+19)/7
=>(x+19)/17+(x+19)/15+(x+19)/13-(x+19)/11-(x+19)/9-(x+19)/7=0
=>(x+19)*(1/17+1/15+1/13-1/11-1/9-1/7)=0
=>x+19=0
=>x=19
áp dụng tc tỉ lệ thức ta có :
\(\Leftrightarrow\frac{671x+2804}{3315}=\frac{239x+2462}{693}\Rightarrow\left(671x+2804\right)693=3315\left(239x+2462\right)\)
=>(671x+2804)693=693(671x+2804) (VT)
<=>693(671x+2804)=3315(239x+2462)
=>465003x+1943172=792285x+8161530
=>-327282x=621835
=>x=621835:(-327282)
=>x=-19
a, Ta có : \(\frac{x-10}{1994}+\frac{x-8}{1996}+\frac{x-6}{1998}+\frac{x-4}{2000}+\frac{x-2}{2002}=\frac{x-2002}{2}+\frac{x-2000}{4}+\frac{x-1998}{6}+\frac{x-1996}{8}+\frac{x-1994}{10}\)
=> \(\frac{x-10}{1994}-1+\frac{x-8}{1996}-1+\frac{x-6}{1998}-1+\frac{x-4}{2000}-1+\frac{x-2}{2002}-1=\frac{x-2002}{2}-1+\frac{x-2000}{4}-1+\frac{x-1998}{6}-1+\frac{x-1996}{8}-1+\frac{x-1994}{10}-1\)
=> \(\frac{x-2004}{1994}+\frac{x-2004}{1996}+\frac{x-2004}{1998}+\frac{x-2004}{2000}\frac{x-2004}{2002}=\frac{x-2004}{2}+\frac{x-2004}{4}+\frac{x-2004}{6}+\frac{x-2004}{8}+\frac{x-2004}{10}\)
=> \(\frac{x-2004}{1994}+\frac{x-2004}{1996}+\frac{x-2004}{1998}+\frac{x-2004}{2000}\frac{x-2004}{2002}-\frac{x-2004}{2}-\frac{x-2004}{4}-\frac{x-2004}{6}-\frac{x-2004}{8}-\frac{x-2004}{10}=0\)
=> \(\left(x-2004\right)\left(\frac{1}{1994}+\frac{1}{1996}+\frac{1}{1998}+\frac{1}{2000}+\frac{1}{2002}-\frac{1}{2}-\frac{1}{4}-\frac{1}{6}-\frac{1}{8}-\frac{1}{10}=0\right)\)
=> \(x-2004=0\)
=> \(x=2004\)
Vậy phương trình có nghiệm là x = 2004 .
b, Ta có : \(\frac{x-85}{15}+\frac{x-74}{13}+\frac{x-67}{11}+\frac{x-64}{9}=10\)
=> \(\frac{x-85}{15}-1+\frac{x-74}{13}-2+\frac{x-67}{11}-3+\frac{x-64}{9}-4=10-1-2-3-4=0\)
=> \(\frac{x-100}{15}+\frac{x-100}{13}+\frac{x-100}{11}+\frac{x-100}{9}=0\)
=> \(\left(x-100\right)\left(\frac{1}{15}+\frac{1}{13}+\frac{1}{11}+\frac{1}{9}\right)=0\)
=> \(x-100=0\)
=> \(x=100\)
Vậy phương trình có nghiệm là x = 100 .
\(\frac{11}{8}+\frac{13}{6}=\frac{85}{x}\)
\(\frac{85}{24}=\frac{85}{x}\)
\(=>x=24\)
Học tốt
\(\frac{11}{8}+\frac{13}{6}=\frac{85}{x}\)
\(\Leftrightarrow\frac{85}{24}=\frac{85}{x}\)
\(\Leftrightarrow85\times x=85\times24\)
\(\Leftrightarrow85\times x=2040\)
\(\Leftrightarrow x=24\)
Vậy \(x=24\)
#)Giải :
a) x + 2x + 3x + ... + 100x = - 213
=> 100x + ( 2 + 3 + 4 + ... + 100 ) = - 213
=> 100x + 5049 = - 213
<=> 100x = - 5262
<=> x = - 52,62
#)Giải :
b) \(\frac{1}{2}x-\frac{1}{3}=\frac{1}{4}x-\frac{1}{6}\)
\(\Rightarrow\frac{1}{2}x+\frac{1}{4}x=\frac{1}{3}+\frac{1}{6}\)
\(\Rightarrow\frac{1}{2}x+\frac{1}{4}x=\frac{1}{2}\)
\(\Rightarrow\left(\frac{1}{2}+\frac{1}{4}\right)x=\frac{1}{2}\)
\(\Rightarrow\frac{3}{4}x=\frac{1}{2}\)
\(\Leftrightarrow x=\frac{2}{3}\)
\(\frac{-11}{8}-\frac{-13}{6}=\frac{5}{x}\)
=> \(\frac{-33}{24}-\frac{-52}{24}=\frac{5}{x}\)
=> \(\frac{\left(-33\right)-\left(-52\right)}{24}=\frac{5}{x}\)
=> \(\frac{19}{24}=\frac{5}{x}\)
=> \(19x=24\cdot5\)
=> \(19x=120\)
=> \(x=\frac{120}{19}\)
11/8 + 13/6 = 85/x
=> 33/24 + 52/24 = 85/x
=>85/24 = 85/x
=> x=24