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junior college 2 | H2 Maths
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I think that by factor theorem, z-(5+7i) and z-(5-7i) are factors.
Date Posted: 4 years ago
Views: 287
If 5 + 7i is a root, then 5 - 7i must be a root as well.
Sum of roots
= 5 + 7i + 5 - 7i
= 10
Product of roots
= (5 + 7i) (5 - 7i)
= 25 + 49
= 74
x2 - 10x + 74 = 0
3x2 - 30x + 222 = 0
so A = -30 and B = 222.
Sum of roots
= 5 + 7i + 5 - 7i
= 10
Product of roots
= (5 + 7i) (5 - 7i)
= 25 + 49
= 74
x2 - 10x + 74 = 0
3x2 - 30x + 222 = 0
so A = -30 and B = 222.
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Solution is in the comments by Eric Nicholas K
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