(2018^a + 1)(2018^a + 2) = 3^b +5
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Suy ra:
10x : 20 = 1(Ko tính phần biến)
10x = 20
x = 20 :10
x =2
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\(A=\frac{1}{3.7}+\frac{1}{7.11}+...+\frac{1}{103.107}\)
\(A=\frac{1}{4}.\left(\frac{4}{3.7}+\frac{4}{7.11}+...+\frac{4}{103.107}\right)\)
\(A=\frac{1}{4}.\left(\frac{1}{3}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+...+\frac{1}{103}-\frac{1}{107}\right)\)
\(A=\frac{1}{4}.\left(\frac{1}{3}-\frac{1}{107}\right)\)
\(A=\frac{1}{4}.\frac{104}{321}\)
\(A=\frac{26}{321}\)
_Chúc bạn học tốt_
\(A=\frac{1}{3}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+...+\frac{1}{103}-\frac{1}{107}\)
\(A=\frac{1}{3}-\frac{1}{107}=\frac{104}{321}\)
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\(\left(x-\frac{1}{3}\right).\left(x-4\right)=0\)
\(=>x-\frac{1}{3}=0\) hoặc \(x-4=0\)
\(=>x=\frac{1}{3}\) \(=>x=4\)
Vậy \(x=\frac{1}{3}\)hoặc \(x=4\)
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