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7a+4b=1994
7a=1994-4b
7a=997.2-2b-2b
7a=2.(997-2b)
=[2.(997-2b)] :7
=[2.(997-2b)] : (3+4)(1)
7a+4b=1994
4b=1994-7a
4b=2.997-2a-5a
4b=2.(997-2a)-5a
= [2.(997-2a)-5a]:4(2)
từ (1),(2)
4/7<[2.(997-2b)]:7/[2.(997-2a)-5a]:4<2/3
7a+4b=1994
7a=1994-4b
7a=997.2-2b-2b
7a=2.(997-2b)
=[2.(997-2b)] :7
=[2.(997-2b)] : (3+4)(1)
7a+4b=1994
4b=1994-7a
4b=2.997-2a-5a
4b=2.(997-2a)-5a
= [2.(997-2a)-5a]:4(2)
từ (1),(2)
4/7<[2.(997-2b)]:7/[2.(997-2a)-5a]:4<2/3
a/ (X+1)/35+1+(x+3)/33+1 =(x+5)/31+(x+7)/29+1+1
=>(x+36)/35+(x+36)/33-(x+36)/31-(x+36)/27=0
=>(X+36)(1/35+1/33-1/31-1/29)=0
=> x+36=0(vì c=vế 2 luôn luôn khác 0)
=>x=-36
b/ CMTT câu a
trừ tung phân số cho 1 ta được x=2004
\(b.\frac{1}{3}+\frac{3}{35}< \frac{x}{210}< \frac{4}{7}+\frac{3}{5}+\frac{1}{3}\)
\(\Leftrightarrow\frac{35+9}{105}< \frac{x}{210}< \frac{60+63+35}{105}\)
\(\Leftrightarrow\frac{44}{105}< \frac{x}{210}< \frac{158}{105}\)
\(\Leftrightarrow\frac{88}{210}< \frac{x}{210}< \frac{316}{210}\)
Suy ra \(x\in\left\{89;90;100;...;313;314;315\right\}\)
\(c.\left(\frac{2}{11.13}+\frac{2}{13.15}+...+\frac{2}{19.21}\right)-x+\frac{221}{231}=\frac{4}{3}\)
\(\Leftrightarrow\left(\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+...+\frac{1}{19}-\frac{1}{21}\right)-x+\frac{221}{231}=\frac{4}{3}\)
\(\Leftrightarrow\frac{1}{11}-\frac{1}{21}-x+\frac{221}{231}=\frac{4}{3}\)
\(\Leftrightarrow\frac{21-11-231x+221}{231}=\frac{308}{231}\)
\(\Leftrightarrow-231x=308-21+11-221\)
\(\Leftrightarrow-231x=77\)
\(\Leftrightarrow x=-\frac{77}{231}=-\frac{1}{3}\)
^^