Sure, here’s how to solve for k:
To isolate k, we can square both sides of the equation:
Simplifying the left-hand side:
Subtracting 5 from both sides:
Dividing both sides by 2:
Taking the square root of both sides:
So the solutions for k are:
or
Note that we took the positive and negative square root because the original equation was an equation of a square root.