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Question Number 193688 by Mingma last updated on 18/Jun/23

Answered by cortano12 last updated on 18/Jun/23

$$4{(2\mathrm{p}+1)}^2-4.(-1).(-2\mathrm{p}-31)<0$$$${4\mathrm{p}}^2+4\mathrm{p}+1-2\mathrm{p}-31<0$$$${4\mathrm{p}}^2+2\mathrm{p}-30<0$$$${2\mathrm{p}}^2+\mathrm{p}-15<0$$$$(2\mathrm{p}-5)(\mathrm{p}+3)<0$$$$-3<\mathrm{p}<\frac{5}{2}$$$$\mathrm{the}\mathrm{largest}\mathrm{positive}\mathrm{integer}\mathrm{p}\mathrm{is}2$$

Commented by Mingma last updated on 18/Jun/23

Perfect ��

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