How do you use the Quadratic Formula to solve First Order ODE?

[number0]

Homework Statement

How do you use the Quadratic Formula to solve First Order ODE?

For example, I am given this integration (see attachment at the bottom).

Homework Equations

The Attempt at a Solution

I integrated both sides but I do not know where to go from there (see attachment at the bottom). My goal is to express y in terms of t. Furthermore, my book says I should use the Quadratic Formula to figure it out. I know what the Quadratic Formula is, but I do not know how to apply it in this situation. Can anyone give me any hints? Thanks.

 

[Sethric]

Treat the t^2 + k as any other constant. Bring it over and you have a quadratic equation like any other.

 

[number0]

Treat the t^2 + k as any other constant. Bring it over and you have a quadratic equation like any other.

I see. Thanks.