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AleksandrR [38]
4 years ago
5

What is z 15 = -45+ z

Mathematics
1 answer:
damaskus [11]4 years ago
8 0

Answer:

60 = z

Step-by-step explanation:

15 = - 45 + z

15 + 45 = z

60 = z

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Find a polynomial function of lowest degree with rational coefficients
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Since -5i is a zero, then its complex conjugate +5i is also a zero of the function.

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P(x)=(x+5i)(x-5i)(x-3)

Which implies that

\begin{gathered} P(x)=(x^2-(5i)^2)(x-3)=(x^2-25i^2)(x-3) \\ \text{ Since i}^2=-1,\text{ then we have} \\ P(x)=(x-3)((x^2+25)=x^3+25x-3x^2-75 \end{gathered}

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