Question

Viet solved a quadratic equation. His work is shown below. In which step did Viet make an error? \begin{aligned} 2(x-3)^2+4&=102 \\\\ 2(x-3)^2&=106&\text{Step }1 \\\\ (x-3)^2&=53&\text{Step }2 \\\\ x-3&=\pm\sqrt{53}&\text{Step }3 \\\\ x&=\pm\sqrt{53}+3&\text{Step }4 \end{aligned} 2(x−3) 2 +4 2(x−3) 2 (x−3) 2 x−3 x ​ =102

Answer 1

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