Answer:
Explanation:
If you multiply (x - k)(x + k), you get [tex]x^{2} + k*x - k*x - k^{2}[/tex] which is equal to [tex]x^{2} -k^{2}[/tex]. Now you can see that [tex]\frac{1}{3} *x^{2} - 2[/tex] must be equal to [tex]\frac{1}{3}*(x^{2} - k^{2})[/tex] which is equal to [tex]\frac{1}{3}*x^{2} - \frac{1}{3}*k^{2}[/tex]. Now we just need to solve [tex]2 = \frac{1}{3}*k^{2}[/tex]. The final answer is [tex]k = +- \sqrt{6}[/tex].
