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HiggsBoson
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Charon is a moon of Pluto that has a mass equal to that of Pluto.
The distance between the centre of Pluto and the centre of Charon is d.
X is the point at which the resultant gravitational field due to Pluto and Charon is zero.

What is the distance of X from the centre of Pluto?
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Sinnoh
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So gravitational field strength is given by \dfrac{GM}{r^2}. M is the same, G is a universal constant and if the resultant gravitational field strength is zero, that means that the magnitude of the field strength is equal.
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Kallisto
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(Original post by HiggsBoson)
Charon is a moon of Pluto that has a mass equal to that of Pluto.
The distance between the centre of Pluto and the centre of Charon is d.
X is the point at which the resultant gravitational field due to Pluto and Charon is zero.

What is the distance of X from the centre of Pluto?
You need to know where the point X is located. Just in case that the distance d between the planet pluto and the moon charon is the radius of an orbit, r = d. Based on the assumption the point X is between of the centres, the point X reduced the distance d, so it is r = d - X.

That has to be put in for r in gravitational field equation.
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