Answer:
If you have to choose an alternative, it is C. [tex]x=5\sqrt{2}[/tex] is one of the solutions/roots of the quadratic equation, but the correct answer is actually [tex]x= \pm 5\sqrt{2}[/tex].
Step-by-step explanation:
[tex]50-x^2 = 0 \Rightarrow x^2=50[/tex]
[tex]x= \pm \sqrt{50}[/tex]
Once [tex]\sqrt{50} =\sqrt{2\cdot5\cdot 5}= 5\sqrt{2}[/tex]
[tex]x= \pm 5\sqrt{2}[/tex]
