Kaitlin S.

asked • 05/31/21

MATH QUESTION PRECAL

Find the product of the given complex number and it’s conjugate. 4-5i

1 Expert Answer

By:

Robin S. answered • 06/01/21

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The conjugate should be the factor that cancels out the middle term of the quadratic. So, 4 - 5i would be multiplied by 4 + 5i.


(4 -5i) ( 4 + 5i) = 16 - 20i +20i - 25i². So you see the middle term is eliminated.


Since i² = -1.........


16 - 25i² = 16 - 25 (-1) 16 + 25 = 41

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