Dynamics- Net Gravitational Force

[hsphysics2]

Homework Statement

In a particular binary star system, Star A has a mass that is 28 times that of Star B. This distance between the stars is 34 AU (astronomical units). Find the location of the point in this star system where the net gravitational force on any mass would be zero.

Homework Equations

F_G = Gm₁m₂
r²

The Attempt at a Solution

I have no idea on this one, if someone could explain how the information is even relevant and how I;m supposed to be solving it

 

[nil1996]

Assume an arbitrary point between the two stars which has net gravitational force zero.
Then calculate the force exerted on that point by each star. Then you can use the information that the "net gravitational force on any mass would be zero".You should get the answer

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