Home / $ x = \pm 2 $: $ 9(4) = 36 \Rightarrow 25y^2 = 189 \Rightarrow y^2 = 7.56 $ → no

$ x = \pm 2 $: $ 9(4) = 36 \Rightarrow 25y^2 = 189 \Rightarrow y^2 = 7.56 $ → no

February 22, 2026

$$ x = \pm 2 $: $ 9(4) = 36 \Rightarrow 25y^2 = 189 \Rightarrow y^2 = 7.56 $ → no$

$ 1009 \equiv 8 $
$ x = 0 $: $ 9(0) + 25y^2 = 225 \Rightarrow y^2 = 9 \Rightarrow y = \pm 3 $ → 2 points
$ x = \pm 1 $: $ 9(1) = 9 \Rightarrow 25y^2 = 216 \Rightarrow y^2 = 8.64 $ → not integer
$ x = \pm 3 $: $ 9(9) = 81 \Rightarrow 25y^2 = 144 \Rightarrow y^2 = 5.76 $ → no
$ x = \pm 4 $: $ 9(16) = 144 \Rightarrow 25y^2 = 81 \Rightarrow y^2 = 3.24 $ → no
$ x = \pm 5 $: $ 9(25) = 225 \Rightarrow 25y^2 = 0 \Rightarrow y = 0 $ → 2 points