Question

Cho hàm số f(x) = \(^{\left(x-\sqrt{3}\right)^2}\) . Tìm x để f(x) = 0,75

Answer 1

f(x) = 0,75

\(\Leftrightarrow\left(x-\sqrt{3}\right)^2=0,75\)

\(\Leftrightarrow\left[{}\begin{matrix}x-\sqrt{3}=\sqrt{0,75}\\x-\sqrt{3}=-\sqrt{0,75}\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{\sqrt{3}}{2}+\sqrt{3}=\dfrac{\sqrt{3}}{2}+\dfrac{2\sqrt{3}}{2}\\x=\dfrac{-\sqrt{3}}{2}+\sqrt{3}=\dfrac{-\sqrt{3}}{2}+\dfrac{2\sqrt{3}}{2}\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{3\sqrt{3}}{2}\\x=\dfrac{\sqrt{3}}{2}\end{matrix}\right.\)

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