Whakaoti mō p
p\in \mathrm{R}
Tohaina
Kua tāruatia ki te papatopenga
\left(7p\right)^{2}-1<49p^{2}
Whakaarohia te \left(7p-1\right)\left(7p+1\right). Ka taea te whakareanga te panoni ki te rerekētanga o ngā pūrua mā te ture: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Pūrua 1.
7^{2}p^{2}-1<49p^{2}
Whakarohaina te \left(7p\right)^{2}.
49p^{2}-1<49p^{2}
Tātaihia te 7 mā te pū o 2, kia riro ko 49.
49p^{2}-1-49p^{2}<0
Tangohia te 49p^{2} mai i ngā taha e rua.
-1<0
Pahekotia te 49p^{2} me -49p^{2}, ka 0.
p\in \mathrm{R}
He pono tēnei mō tētahi p ahakoa.
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