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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