Question

(x+14)/86 +(x+15)/85 + (x+16)/84 + (x+17)/83 + (x+116)/4=0

GIẢI PHƯƠNG TRÌNH

đag cần gấp, giúp với ạ

Mơn trước.

Answer 1

\(\frac{x+14}{86}+\frac{x+15}{85}+\frac{x+16}{84}+\frac{x+17}{83}+\frac{x+116}{4}=0\)

\(\Leftrightarrow\frac{x+14}{86}+\frac{x+15}{85}+\frac{x+16}{84}+\frac{x+17}{83}+\frac{x+100}{4}+4=0\)

\(\Leftrightarrow\left(\frac{x+14}{86}+1\right)+\left(\frac{x+15}{85}+1\right)+\left(\frac{x+14}{86}+1\right)+\left(\frac{x+13}{87}+1\right)+\frac{x+100}{4}=0\)

\(\Leftrightarrow\frac{x+100}{86}+\frac{x+100}{85}+\frac{x+100}{84}+\frac{x+100}{83}+\frac{x+100}{4}=0\)

\(\Leftrightarrow\left(x+100\right)\left(\frac{1}{86}+\frac{1}{85}+\frac{1}{84}+\frac{1}{83}+\frac{1}{4}\right)=0\)

\(\Leftrightarrow x+100=0\left(vì\frac{1}{86}+\frac{1}{85}+\frac{1}{84}+\frac{1}{83}+\frac{1}{4}\ne0\right)\)

\(\Leftrightarrow x=-100\)

vậy.............................

Answer 2

Kham khảo 

Answer 3

\(\left[\frac{\left(x+14\right)}{86}+1\right]+\left[\frac{\left(x+15\right)}{85}+1\right]+\left[\frac{\left(x+16\right)}{84}+1\right]+\left[\frac{\left(x+17\right)}{83}+1\right]\)\(+\left[\frac{\left(x+116\right)}{4}-4\right]=0\)

\(\frac{\Rightarrow\left(x+100\right)}{86}+\frac{\left(x+100\right)}{85}+\frac{\left(x+100\right)}{84}+\frac{\left(x+100\right)}{83}+\frac{\left(x+100\right)}{16}=0\)

\(\Rightarrow\left(x+100\right)\left(\frac{1}{86}+\frac{1}{85}+\frac{1}{84}+\frac{1}{83}+\frac{1}{16}\right)=0\)

\(\Leftrightarrow x+100=0\Rightarrow x=-100\)

Mặt khác :\(\frac{1}{86}+\frac{1}{85}+\frac{1}{84}+\frac{1}{83}+\frac{1}{16}\ne0\)

Vậy x=-100

_Chúc bn hc tốt

Answer 4

cảm ơn mọi người nhiều ạ

Answer 5

\(\frac{x+14}{86}+\frac{x+15}{85}+\frac{x+16}{84}+\frac{x+17}{83}+\frac{x+116}{4}=0\)\(=0\)

\(\Leftrightarrow\frac{x+14}{86}+1+\frac{x+15}{85}\)\(+1+\frac{x+16}{84}+1+\)\(\frac{x+17}{83}+1+\frac{x+116}{4}-4=0\)

\(\Leftrightarrow\frac{x+100}{86}+\frac{x+100}{85}\)\(+\frac{x+100}{84}+\frac{x+100}{83}\)\(+\frac{x+100}{4}=0\)

\(\Leftrightarrow\left(x+100\right).\)\(\left(\frac{1}{86}+\frac{1}{85}+\frac{1}{84}+\frac{1}{83}+\frac{1}{4}\right)\)

\(\Leftrightarrow x+100=0.Do\)\(\frac{1}{86}+\frac{1}{85}+\frac{1}{84}+\frac{1}{83}+\frac{1}{4}\) \(\ne0\)

\(\Rightarrow x=-100\)

Answer 6

https://diendan.hocmai.vn/threads/toan-8-giup-voi.195314/

hãy vô đây nha !!

Answer 7

\(\frac{x+14}{86}+\frac{x+15}{85}+\frac{x+16}{84}+\frac{x+17}{83}+\frac{x+116}{4}=0\)

\(\Leftrightarrow\frac{x+14}{86}+1+\frac{x+15}{85}+1+\frac{x+16}{84}+1+\frac{x+17}{83}+\frac{x+116}{4}-4=0\)

\(\Leftrightarrow\frac{x+100}{86}+\frac{x+100}{85}+\frac{x+100}{84}+\frac{x+100}{83}+\frac{x+100}{4}=0\)

\(\Leftrightarrow\left(x+100\right)\left(\frac{1}{86}+\frac{1}{85}+\frac{1}{84}+\frac{1}{83}+\frac{1}{4}\right)=0\)

\(\Leftrightarrow x+100=0.\)do\(\frac{1}{86}+\frac{1}{85}+\frac{1}{84}+\frac{1}{83}+\frac{1}{4}\ne0\)

\(\Rightarrow x=-100\)

Answer 8

\(\frac{x+14}{86}+\frac{x+15}{85}+\frac{x+16}{84}+\frac{x+17}{83}+\frac{x+116}{4}=0\)

\(\Rightarrow\frac{x+14}{86}+1+\frac{x+15}{85}+1+\frac{x+16}{84}+1+\frac{x+17}{83}+1\)

\(+\frac{x+116}{4}-4=0\)

\(\Rightarrow\frac{x+100}{86}+\frac{x+100}{85}+\frac{x+100}{84}+\frac{x+100}{83}+\frac{x+100}{4}=0\)

\(\Rightarrow x=-100\)