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Daniel She
Daniel She

Hong Kong

I am not sure how to do it,

Date Posted: 4 years ago
Views: 256
Eric Nicholas K
Eric Nicholas K
4 years ago
If 3 - 5i is a root...
...so does 3 + 5i; they come in pairs (if you have used the quadratic formula to solve quadratic equations and obtained answers with square roots, you will notice that they come in opposite pairs)

Roots are 3 - 5i and 3 + 5i.

Sum of roots
= 3 - 5i + 3 + 5i
= 6

Product of roots
= (3 - 5i) (3 + 5i)
= 9 + 15i - 15i - 25i^2
= 9 - 25i^2
= 9 - 25 (-1)
= 34

Equation is
x^2 - (Sum)x + Product) = 0
x^2 - 6x + 34 = 0

where p = -6 and q = 34

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Siow Lin Hoe
Siow Lin Hoe's answer
658 answers (Tutor Details)
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-6 and 34