+1886 Express the equation \({2x^2}+4x-1\)
In the form \(a{(x+b)^2}+c\)
Where \(\{a,b,c\}\in\mathbb{Z}\)
+26387 Express the equation \({2x^2}+4x-1\)
In the form \(a{(x+b)^2}+c\)
Where \(\{a,b,c\}\in\mathbb{Z}\)
\(\begin{array}{|rcll|} \hline && 2x^2+4x-1 \\ &=& 2\cdot (x^2+2x) - 1 \\ &=& 2\cdot \Big( (x+1)^2 -1 \Big) - 1 \\ &=& 2\cdot (x+1)^2 -2 - 1 \\ &=& 2\cdot (x+1)^2 -3 \\ \hline \end{array} \)
