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secondary 4 | E Maths
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If z = 8 + 3i, then z^2 = ?
Date Posted: 3 years ago
Views: 592
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hi! you can dm me @ssagajii on ig next time if you need help as i might not be so active here to check around! but anyways heres my ans to ur qn, hope it helps (and correct HAHHAA)
Date Posted:
3 years ago
You missed that z = 8 + 3i is a complex number where i represents the imaginary number with a value equal to the square root of -1. The letter i here is not intended to be just another algebraic letter.
In other words, i² = -1, so your answer could be simplified further.
(This is covered either in the A Levels or some Poly courses)
So, z²
= (as you wrote)
= 9i² + 48i + 64
= 9 (-1) + 48i + 61
= -9 + 48i + 64
= 55 + 48i
In other words, i² = -1, so your answer could be simplified further.
(This is covered either in the A Levels or some Poly courses)
So, z²
= (as you wrote)
= 9i² + 48i + 64
= 9 (-1) + 48i + 61
= -9 + 48i + 64
= 55 + 48i
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