N(a + bi)N(c + di) = N[(a + bi)(c+ di)] = 2. Show that 65 can be expressed as a sum of two squares in two different ways. Hint: 65 = 5- 13 = N[(2 + i)(3+ 2i)] and 65 = 5 - 13 = N[(2+i)(2+ 3i)]. %3!
N(a + bi)N(c + di) = N[(a + bi)(c+ di)] = 2. Show that 65 can be expressed as a sum of two squares in two different ways. Hint: 65 = 5- 13 = N[(2 + i)(3+ 2i)] and 65 = 5 - 13 = N[(2+i)(2+ 3i)]. %3!
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![N(a + bi)N(c + di) = N[(a + bi)(c + di)] =
2. Show that 65 can be expressed as a sum of two squares in two different ways. Hint
65 = 5 · 13 = N[(2 + i)(3+2i)] and 65 = 5 - 13 = N[(2+ i)(2+ 3i)].
%3D
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Transcribed Image Text:N(a + bi)N(c + di) = N[(a + bi)(c + di)] =
2. Show that 65 can be expressed as a sum of two squares in two different ways. Hint
65 = 5 · 13 = N[(2 + i)(3+2i)] and 65 = 5 - 13 = N[(2+ i)(2+ 3i)].
%3D
%3D
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