Question

How do you solve `1= - 4+ \sqrt { - 2- 9k }`?

Answer 1

Isolate the square root, square both sides, then solve the simple equation for `k`.

Explanation:

First we add `4` to both sides to isolate the square root:
`5=sqrt(-2-9k)`

We can now easily square both sides:
`25=-2-9k`

We can add `2` to both side:
`27=-9k`

Finally, we divide both sides by `-9` to isolate `k`:
`k=-3` which is the solution