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Question Number 215164 by MathematicalUser2357 last updated on 30/Dec/24

$$\mathrm{Let}\mathrm{the}\mathrm{two}\mathrm{roots}\mathrm{of}\mathrm{the}\mathrm{quadratic}\mathrm{equation}{x}^2-12x+k=0\mathrm{is}\alpha ,{\alpha }^2,$$$$\mathrm{Then}\mathrm{solve}\mathrm{for}\alpha \mathrm{and}k\mathrm{or}\mathrm{I}\mathrm{will}\mathrm{force}\mathrm{you}\mathrm{to}\mathrm{solve}$$

Answered by A5T last updated on 30/Dec/24

$$\alpha +{\alpha }^2=12\Rightarrow \alpha =-4\mathrm{or}3$$$$\Rightarrow \mathrm{k}=\alpha \times {\alpha }^2=-64\mathrm{or}27$$

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