Tìm x:\(\sqrt{x^2+1}=2\)
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HN
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HT
7 tháng 8 2022
Ta có
\(\dfrac{a}{2}=\dfrac{b}{3}=\dfrac{c}{4}=\dfrac{2b}{6}=\dfrac{3c}{12}\)
Áp dụng tính chất dãy tỉ số bằng nhau ,có
\(\dfrac{a}{2}=\dfrac{b}{3}=\dfrac{c}{4}=\dfrac{2b}{6}=\dfrac{3c}{12}=\dfrac{a+2b+3c}{2+6+12}=\dfrac{-20}{20}=-1\)
=>\(\left\{{}\begin{matrix}a=-2\\b=-3\\c=-4\end{matrix}\right.\)
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7 tháng 8 2022
\(x-\dfrac{2}{9}=\dfrac{2}{36}\)
\(x=\dfrac{2}{36}+\dfrac{2}{9}\)
\(x=\dfrac{5}{18}\)
\(\sqrt{x^2+1}=2\)
\(\Leftrightarrow\sqrt{x^2+1}=\sqrt{4}\)
\(\Rightarrow x^2+1=4\)
\(x^2=3\)
=>\(x=\sqrt{3}\)