=> x-100 =0 => x=100Vậy nghiệm là 100
ta có 0=\(\frac{x-11}{89}-1+\frac{x-13}{87}-1+\frac{x-15}{85}-1+\frac{x-17}{83}-1=0\)
0=\(\frac{x-11-89}{89}+\frac{x-13-87}{87}+\frac{x-15-85}{85}+\frac{x-17-83}{83}\)
0=\(\frac{x-100}{89}+\frac{x-100}{87}+\frac{x-100}{85}+\frac{x-100}{83}\)
0=(x-100)(\(\frac{1}{89}+\frac{1}{87}+\frac{1}{85}+\frac{1}{83}\))
vì \(\frac{1}{89}+\frac{1}{87}+\frac{1}{85}+\frac{1}{83}\)khác 0 suy ra x-100=0
x=100
x−11/89+x−13/87+x−15/85+x−17/83=4
=>(x−11/89−1)+(x−13/87−1)+(x−15/85−1)+(x−17/83−1)=0
=>x−100/89+x−100/87+x−100/85+x−100/83=0
=>(x−100)(1/89+1/87+1/85+1/83)=0
=> x-100 =0
Vậy nghiệm là 100