Question

%7Bk%7D%5E%7B2%7D%20" id="TexFormula1" title="(x + k) {}^{2} = {x}^{2} + 1x + {k}^{2} " alt="(x + k) {}^{2} = {x}^{2} + 1x + {k}^{2} " align="absmiddle" class="latex-formula">
find the value of k.

Answer 1

If we take the equation and multiply out the left side, we get....

$x^{2}$ + 2xk + $k^{2}$ = $x^{2}$ + x +$k^{2}$

The x^2 and k^2 cancel out on both sides leaving us with this...

2kx = x

If we divide both sides by 2x to isolate k, k ends up = 1/2