111+113+115+119+117+115=
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\(\dfrac{x-3}{113}+\dfrac{x-5}{115}=\dfrac{x-7}{117}+\dfrac{x-9}{119}\)
\(\Leftrightarrow\left(\dfrac{x-3}{113}+1\right)+\left(\dfrac{x-5}{115}+1\right)=\left(\dfrac{x-7}{117}+1\right)+\left(\dfrac{x-9}{119}+1\right)\)\(\Leftrightarrow\dfrac{x+110}{113}+\dfrac{x+110}{115}=\dfrac{x+110}{117}+\dfrac{x+110}{119}\)
\(\Leftrightarrow\dfrac{x+110}{113}+\dfrac{x+110}{115}-\dfrac{x+110}{117}-\dfrac{x+110}{119}=0\)
\(\Leftrightarrow\left(x+110\right)\left(\dfrac{1}{113}+\dfrac{1}{115}-\dfrac{1}{117}-\dfrac{1}{119}\right)=0\)
Mà \(\dfrac{1}{113}+\dfrac{1}{115}-\dfrac{1}{117}-\dfrac{1}{119}\ne0\)
\(\Rightarrow x+110=0\)
\(\Rightarrow x=-110\)
\(\dfrac{x-3}{133}+\dfrac{x-5}{155}=\dfrac{x-7}{117}+\dfrac{x-9}{119}\)
\(\Leftrightarrow\left(\dfrac{x-3}{113}+1\right)+\left(\dfrac{x-5}{115}+1\right)=\left(\dfrac{x-7}{117}+1\right)+\left(\dfrac{x-9}{119}+1\right)\)
\(\Leftrightarrow\dfrac{x+130}{113}+\dfrac{x+130}{115}=\dfrac{x+130}{117}+\dfrac{x+130}{119}\)
\(\Leftrightarrow\dfrac{x+130}{113}+\dfrac{x+130}{115}-\dfrac{x+130}{117}-\dfrac{x+130}{119}=0\)
\(\Leftrightarrow\left(x+130\right)\left(\dfrac{1}{113}+\dfrac{1}{115}-\dfrac{1}{117}-\dfrac{1}{119}\right)=0\)
Mà \(\dfrac{1}{113}+\dfrac{1}{115}-\dfrac{1}{117}-\dfrac{1}{119}\ne0\)
\(\Leftrightarrow x+130=0\)
\(\Leftrightarrow x=-130\)
Vậy..
Tính nhanh111/112×112/113×113/114×114/115×115/116×116/117 m.n giải nhanh giúp e với ạ. Ths m.n nhiều
111/112x112/113x113/114x114/115x116/117=111/117 nha
vì 112 rút gọn 112 ,113 cũng như thế đến 116 song chỉ còn 111 và 117
nha bạn
\(3\frac{1}{117}\)x \(4\frac{1}{119}\)- \(1\frac{116}{117}\)x \(5\frac{115}{119}\)- \(\frac{5}{119}\)
= \(\frac{1889}{13923}\)
113 + 114 - 115.2 + 116 : x = 119
113 + 114 - 230 + 116 : x = 119
-3 + 116 : x = 119
116 : x = 119 - ( - 3 )
116 : x = 122
x = 116 : 122
=>x = 58/61
Vậy x = 58/61
113 + 114 - 115.2 + 116 : x = 119
113 + 114 - 230 + 116 : x = 119
-3 + 116 : x = 119
116 : x = 119 - ( - 3 )
116 : x = 122
x = 116 : 122
x = 58/61
bằng 690
111+113+115+119+117+115
=690