Show that the equation \(x ^ { 2 } + k x - k ^ { 2 } = 0\) has real roots for all real values of \(k\).
Show that the roots of the equation \(x ^ { 2 } + k x - k ^ { 2 } = 0\) are \(\left( \frac { - 1 \pm \sqrt { 5 } } { 2 } \right) k\). [0pt]
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