Question

x^2 +1/4 =1/2

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Answer 1

\(x^2+\dfrac{1}{4}=\dfrac{1}{2}\\ \Rightarrow x^2=\dfrac{1}{2}-\dfrac{1}{4}\\ \Rightarrow x^2=\dfrac{2}{4}-\dfrac{1}{4}\\ \Rightarrow x^2=\dfrac{1}{4}=\left(\pm\dfrac{1}{2}\right)^2\\ \Rightarrow x=\pm\dfrac{1}{2}\)