# How Hard Could Two Springs Be?

In the $$xy$$-coordinate system, two massless ideal springs are anchored at their respective coordinates shown in the figure. Their other ends are attached to a massive point particle. The figure shows the unstretched spring lengths, spring constants, the particle mass, and the gravitational acceleration (all in standard SI units).

How far from $$(0,0)$$ does the particle reside when it is in equilibrium (to three decimal places)?

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