express the number 25 as a prodcut of two complec conjugates, a + bi and a-bi in 2 different ways, with a and b being natural numbers?
2007-11-19 12:19:08 · 4 answers · asked by john c 1 in Science & Mathematics ➔ Mathematics
b) find another perfect square that can be expressed as a product of two complex numbers.
C) describe the most effecient method for finding numbers that satisfy the above relationship.
2007-11-19 12:20:27 · update #1
You want the product of the complex conjugates to equal a square. It can be written as the following equation.
(a+bi)(a-bi) = c^2
Multiply out the left side and you get a^2 + b^2 = c^2
2007-11-19 12:29:17 · answer #1 · answered by Demiurge42 7 · 0⤊ 0⤋
25 = (x+iy)(x-iy) = x^2+y^2
x = +-3 or +-4 with y being +-4 or +-3
169 =12^2 + 5^2
2007-11-19 20:27:28 · answer #2 · answered by holdm 7 · 0⤊ 0⤋
25 = (4 -3i)(4 +3i)
25 = (-4 -3i)(-4 +3i)
2007-11-19 20:26:54 · answer #3 · answered by Any day 6 · 0⤊ 0⤋
complicated matter. look using a search engine. it could help!
2014-11-13 23:08:35 · answer #4 · answered by jacquelyn 3 · 0⤊ 0⤋