Eric Nicholas K's answer to lim's Junior College 2 H3 Maths Singapore question.
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Last part.
For the first three parts, perhaps J or Boy Mow Chau may have a better thought on this. I have a rough idea for the first two parts geometrically, but have no idea on how to put them in complex form.
For the first three parts, perhaps J or Boy Mow Chau may have a better thought on this. I have a rough idea for the first two parts geometrically, but have no idea on how to put them in complex form.
Date Posted:
4 years ago
The negative result has to be rejected as the question states that the equilateral triangle is labelled anticlockwise.
This negative result would make the triangle become labelled clockwise instead.
This negative result would make the triangle become labelled clockwise instead.
(c - i)² = 3(3 + 4i)² = (√3)²(3 + 4i)²
(c - i)² = (3√3 + 4√3 i)²
(c - i)² = (3√3 + (4√3 + 1)i - i)²
Comparing coefficients,
c = 3√3 + (4√3 + 1)i
(c - i)² = (3√3 + 4√3 i)²
(c - i)² = (3√3 + (4√3 + 1)i - i)²
Comparing coefficients,
c = 3√3 + (4√3 + 1)i
Interesting...
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