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Express the equation \({2x^2}+4x-1\)

In the form \(a{(x+b)^2}+c\)

Where \(\{a,b,c\}\in\mathbb{Z}\)

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avatar+18610 
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Express the equation \({2x^2}+4x-1\)

In the form \(a{(x+b)^2}+c\)

Where \(\{a,b,c\}\in\mathbb{Z}\)

 

\(\begin{array}{|rcll|} \hline && 2x^2+4x-1 \\ &=& 2\cdot (x^2+2x) - 1 \\ &=& 2\cdot \Big( (x+1)^2 -1 \Big) - 1 \\ &=& 2\cdot (x+1)^2 -2 - 1 \\ &=& 2\cdot (x+1)^2 -3 \\ \hline \end{array} \)

 

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heureka  Apr 5, 2017

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