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Question Number 128204 by I want to learn more last updated on 05/Jan/21

$$\mathrm{Let}\mathrm{x},\mathrm{y},\mathrm{z}\mathrm{be}\mathrm{pairwise}\mathrm{distinct}\mathrm{real}\mathrm{numbers},\mathrm{if}$$$$(\mathrm{x}+\mathrm{y}-7)[\mathrm{z}(\mathrm{x}+\mathrm{y})+24]=(\mathrm{y}+\mathrm{z}-7)[\mathrm{x}(\mathrm{y}+\mathrm{z})+24]=(\mathrm{z}+\mathrm{x}-7)[\mathrm{y}(\mathrm{z}+\mathrm{x})+24]$$$$\mathrm{Find}{\mathrm{x}}^2+{\mathrm{y}}^2+{\mathrm{z}}^2$$

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