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Solve the following question using completing square method x^2-4√2x+6=0.​

Answer»

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p(x) = x² -4√2x + 6 =0

\rm\:Add \: (- \frac{4 \sqrt{2} }{2} ) ^{2} \: on \: both \: sides\:\\\\\rm\: \mapsto( - 2 \sqrt{2} ) {}^{2} \\ \\ \rm\: \mapsto 8 \\\\

\: \: \rm\:\: \: : \mapsto \: {x}^{2} - 4 \sqrt{2} x +8 = - 6 + 8 \\ \\ \: \: \rm\:\: \: : \mapsto {x}^{2} - 4 \sqrt{2}x + 8 = 2 \\ \\\: \: \rm\:\: \: : \mapsto(x - 2 \sqrt{2} ) {}^{2} = 2 \\ \\ \: \: \rm\:\: \: : \mapsto \: x - 2 \sqrt{2} = \sqrt{2} \\ \\\: \: \rm\:\: \: : \mapsto \: x = \sqrt{2} + 2 \sqrt{2} \\ \\ \: \: \bf\:\: \: : \mapsto \: x = 3 \sqrt{2} \: \: or \: x = \sqrt{2}

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