Answer:
simplify the radical
Step-by-step explanation:
You have shown the solution using the quadratic formula.
The final step is to simplify the radical expression. That is done by factoring out perfect squares and simplifying the fraction.
[tex]x=\dfrac{\pm\sqrt{120}}{12}=\dfrac{\pm\sqrt{2^2\cdot30}}{12}=\dfrac{\pm2\sqrt{30}}{12}\\\\x=\dfrac{\pm\sqrt{30}}{6}=\left\{\dfrac{1}{6}\sqrt{30}\,,\ -\dfrac{1}{6}\sqrt{30}\right\}[/tex]
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Additional comment
0 is the additive identity element, so adding or subtracting zero changes nothing.
[tex]0\pm\sqrt{120}=\pm\sqrt{120}[/tex]
