Question

The expression: Can you explain how to factor out the 1/3 from 2 in detail I am having trouble.

Answer 1

Step-by-step explanation:

If you multiply (x - k)(x + k), you get
`x^(2) + k*x - k*x - k^(2)` which is equal to
`x^(2) -k^(2)`. Now you can see that
`(1)/(3) *x^(2) - 2` must be equal to
`(1)/(3)*(x^(2) - k^(2))` which is equal to
`(1)/(3)*x^(2) - (1)/(3)*k^(2)`. Now we just need to solve
`2 = (1)/(3)*k^(2)`. The final answer is
`k = +- √(6)`.