This is a question from my homework: "Two small nonconducting spheres have a total charge of 90.0uC. (A) When placed 28.0cm apart, the force each exerts on the other is 12.0N and is repulsive.  What is the charge on each? (B) What if the force were attractive?"  I set up the equation F=(kq_1 q_2)/r^2 = ((9*10^9)(9*10^(-5)-x)(x))/〖(0.28)〗^2  and ended up with -x^2+(9*10^(-5) x)-(1.04533*10^(-10))=0, but I am not sure how to solve for x from there (or entirely sure that I am on the right track in the first place)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter19: Electric Forces And Electric Fields
Section: Chapter Questions
Problem 11CQ
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This is a question from my homework: "Two small nonconducting spheres have a total charge of 90.0uC. (A) When placed 28.0cm apart, the force each exerts on the other is 12.0N and is repulsive.  What is the charge on each? (B) What if the force were attractive?"  I set up the equation F=(kq_1 q_2)/r^2 = ((9*10^9)(9*10^(-5)-x)(x))/〖(0.28)〗^2  and ended up with -x^2+(9*10^(-5) x)-(1.04533*10^(-10))=0, but I am not sure how to solve for x from there (or entirely sure that I am on the right track in the first place)

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