E=1/2mv^2 Given E and change in velocity

[LoganNagol]

Homework Statement

It takes 185 kJ of work to accelerate a car from 23.0 m/s to 28.0 m/s. What is the car’s mass?

Homework Equations

E=1/2mv^2

The Attempt at a Solution

I get that I must put (2E) over V² I am just not sure if I was allowed to put the change in velocity so it would look like this. (2E)/(V₁² - V₀²)
If it is correct will someone please tell me why?

 

[mfb]

Why don't you calculate it and then check the kinetic energy of the car befoere and after the velocity change?

 

[LoganNagol]

Thanks! I got the answer correct.