4.5^x-2=500 help
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\(\dfrac{1}{1.2}+\dfrac{1}{2.3}+\dfrac{1}{3.4}+\dfrac{1}{4.5}+...+\dfrac{1}{x.\left(x+1\right)}=\dfrac{499}{500}\)
\(\Leftrightarrow1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{x}-\dfrac{1}{x+1}=\dfrac{499}{500}\)
\(\Leftrightarrow1-\dfrac{1}{x+1}=\dfrac{499}{500}\)
\(\Leftrightarrow x=499\)
Tìm x
190−(x−1)2=189
(x - 1) 2 = 190 - 189
(x - 1) 2 = 1
x = 1+2
x = 2
a, cái câu trả lời trước mk ghi sai
190 - (x-1)2 = 189
(x - 1 ) 2 = 190 - 189
(x-1)2 = 1
x = 1+1
x = 2
dấu bằng của mk bt liệt nên bạn thông cảm
A bằng (1.2.3.4).(1.2.3.4)/(1.2.3.4).(2.3.4.5) bằng 5
rút gọn cho nhau bạn nhé
a: \(\Leftrightarrow3\cdot5^n\cdot25+4\cdot5^n\cdot\dfrac{1}{125}=19\cdot5^{10}\)
\(\Leftrightarrow5^n\cdot\left(75+\dfrac{4}{125}\right)=19\cdot5^{10}\)
\(\Leftrightarrow5^n\simeq2472903,228\)(vô lý)
b: \(\Leftrightarrow6^x\cdot11\cdot\dfrac{1}{6}+2\cdot6^x\cdot6=11\cdot6^{11}+2\cdot6^{11}\cdot36\)
\(\Leftrightarrow6^x\left(\dfrac{11}{6}+12\right)=6^{11}\cdot83\)
\(\Leftrightarrow6^x=6^{12}\)
hay x=12
\(S=\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+\dfrac{1}{4\cdot5}+...+\dfrac{1}{2021+2022}\)
\(S=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{2021}+\dfrac{1}{2021}-\dfrac{1}{2022}\)
\(S=\dfrac{1}{2}-\dfrac{1}{2022}\)
\(S=\dfrac{1011}{2022}-\dfrac{1}{2022}\)
\(S=\dfrac{505}{1011}\)
a) 210:[16+3.(6+3.2^2)]-3
=210:[16+3.(6+3.4)]-3
=210:[16+3.(6+12)]-3
=210:[16+3.18]-3
=210:[16+54]-3
=210:70-3
=3-3
=0
\(500-\left\{5.\left[409.\left(2^3.3-21\right)^2\right]\right\}-3\)