解答

✨ 最佳解答 ✨

4a^2 - 4b^2 = 96
4(a^2 - b^2) = 96
a^2 - b^2 = 24
(a - b)(a + b) = 24 = 1 × 24 = 2 × 12 = 3 × 8 = 4 × 6

(1)
a - b = 1
a + b = 24
兩式相加後發覺 a 不是正整數 --> 兩數相加後為偶數的才有可能

(2)
a - b = 2
a + b = 12
==> a = 7, b = 5 ==> 2a = 14, 2b = 4

(3)
a - b = 4
a + b = 6
==> a = 5, b = 1 ==> 2a = 10, 2b = 2

面積 = 14^2 = 196 或 10^2 = 100

寧兒吖~(國三)

會了,謝謝🙏

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