Question

6-(x-1/3)²=2²⁰²¹:(-2)²⁰²⁰

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Answer 1

Ta có: \(6-\left(x-\dfrac{1}{3}\right)^2=2^{2021}:\left(-2\right)^{2020}\)

\(\Leftrightarrow6-\left(x-\dfrac{1}{3}\right)^2=2^{2021}:2^{2020}\\ \Leftrightarrow6-\left(x-\dfrac{1}{3}\right)^2=2\\ \Leftrightarrow\left(x-\dfrac{1}{3}\right)^2=4\\ \Rightarrow\left[{}\begin{matrix}x-\dfrac{1}{3}=2\\x-\dfrac{1}{3}=-2\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{7}{3}\\x=-\dfrac{5}{3}\end{matrix}\right.\)

    Vậy \(\left[{}\begin{matrix}x=\dfrac{7}{3}\\x=-\dfrac{5}{3}\end{matrix}\right.\)