\[ \begin{array}{r}\dfrac{L_{1}^{2}}{I_{1}}+\dfrac{L_{2}^{2}}{I_{2}}+\dfrac{L_{3}^{2}}{I_{3}}=2 E \\\dfrac{L_{1}^{2}}{I_{2}}+\dfrac{L_{2}^{2}}{I_{2}}+\dfrac{L_{3}^{2}}{I_{2}}=\dfrac{L^{2}}{I_{2}}=2 E\...L21I1+L22I2+L23I3=2EL21I2+L22I2+L23I2=L2I2=2EL21(1I1−1I2)+L23(1I3−1I2)=0L1=±cL3,c=I1(I3−I2)/I2(I2−I1)