Question

What steps do I need to take to solve the last part of this equation and how do I solve them using the quadratic formula?

Answer 1

simplify the radical

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.

`x=(\pm√(120))/(12)=(\pm√(2^2\cdot30))/(12)=(\pm2√(30))/(12)\\\\x=(\pm√(30))/(6)=\left\{(1)/(6)√(30)\,,\ -(1)/(6)√(30)\right\}`

_____

Additional comment

0 is the additive identity element, so adding or subtracting zero changes nothing.

`0\pm√(120)=\pm√(120)`