Spring Compressed on Parabola

Two 1 kg\SI{1}{\kilo\gram} beads are at the ends of a compressed spring resting on a smooth parabolic wire (y=x2).\big(y = x^2\big). The spring has a natural length of 1 m\SI{1}{\meter} and a force constant of 5 N/m.\SI[per-mode=symbol]{5}{\newton\per\meter}.

If the system is in static equilibrium, how far away from the yy-axis is each bead (in meters)?

Note: The spring is horizontal and gravity is 10 m/s2\SI[per-mode=symbol]{10}{\meter\per\second\squared} in the y-y direction.

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