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Quadratics by taking square roots: strategy

Ettiene solved a quadratic equation. His work is shown below.
In which step did Ettiene make an error?
34(x6)2+1=2834(x6)2=27Step 1(x6)2=2014Step 2x6=±2014Step 3x=±2014+6Step 4\begin{aligned} \dfrac{3}{4}(x-6)^2+1&=28 \\\\ \dfrac{3}{4}(x-6)^2&=27&\text{Step }1 \\\\ (x-6)^2&=20\dfrac14&\text{Step }2 \\\\ x-6&=\pm\sqrt{20\dfrac14}&\text{Step }3 \\\\ x&=\pm\sqrt{20\dfrac14}+6&\text{Step }4 \end{aligned}
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