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Completion of square method 2x^2 + 4x - 8​

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❣️\textbf{\large{\pink{\underline{\underline{Step by step Explanation:-}}}}}

\mathrm{2x^{2}+4x-8=0}

\mathrm{\implies{2x^{2}+4x=8}}

\mathrm{\implies{2x^{2}+2\times{2x}\times{1}+1^{2}=8+1^{2}}}

[On adding \mathrm{(1^{2})} in both sides..]

\mathrm{\implies{(2x+1)^{2}=8+1}}

\mathrm{\implies{(2x+1)^{2}=9}}

\mathrm{\implies{2x+1=\pm\sqrt{9}}}

\mathrm{\implies{x=\frac{-1\pm 3}{2}}}

\mathrm{x=\frac{-1+3}{2}}

\mathrm{\implies{x=\frac{2}{2}}}

\mathrm{\implies{x=1}}

\textit{\underline{and,,}}

\mathrm{x=\frac{-1-3}{2}}

\mathrm{\implies{x=\frac{-4}{2}}}

\mathrm{\implies{x=-2}}

\textit{\underline{Hence,,}}

\textit{The value of x is,,}

\mathrm{\boxed{\red{\implies{x=1}}}}

\mathrm{\boxed{\red{\implies{Or,,x=-2}}}}

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