IB Physics. Coulomb’s law. Four Point Charges

Four equal point charges are placed on a straight line of length 2a. Two of the charges are fixed at the ends of the line. Find the positions on the line where the other two charges are placed if they are to be at rest. (From D. J. Griffiths and Y. Li, Am. J. Phys., 64, 6, June 1996, p 708) Answer is at x = ± 0.36148a from the centre of the line.