\sqrt{ { \left( { x }_{ 2 } - { x }_{ 1 } \right) }^{ 2 } + { \left( { y }_{ 2 } - { y }_{ 1 } \right) }^{ 2 } } = 5 \sqrt{ 2 }
Atrast x_1 (complex solution)
x_{1}=\sqrt{50-y_{2}^{2}+2y_{1}y_{2}-y_{1}^{2}}+x_{2}
x_{1}=-\sqrt{50-y_{2}^{2}+2y_{1}y_{2}-y_{1}^{2}}+x_{2}
Atrast x_2 (complex solution)
x_{2}=-\sqrt{50-y_{2}^{2}+2y_{1}y_{2}-y_{1}^{2}}+x_{1}
x_{2}=\sqrt{50-y_{2}^{2}+2y_{1}y_{2}-y_{1}^{2}}+x_{1}
Atrast x_1
x_{1}=\sqrt{50-y_{2}^{2}+2y_{1}y_{2}-y_{1}^{2}}+x_{2}
x_{1}=-\sqrt{50-y_{2}^{2}+2y_{1}y_{2}-y_{1}^{2}}+x_{2}\text{, }y_{2}\geq y_{1}-5\sqrt{2}\text{ and }y_{2}\leq y_{1}+5\sqrt{2}
Atrast x_2
x_{2}=-\sqrt{50-y_{2}^{2}+2y_{1}y_{2}-y_{1}^{2}}+x_{1}
x_{2}=\sqrt{50-y_{2}^{2}+2y_{1}y_{2}-y_{1}^{2}}+x_{1}\text{, }y_{2}\geq y_{1}-5\sqrt{2}\text{ and }y_{2}\leq y_{1}+5\sqrt{2}
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