Question

Find the real root of the equation 3z^3 - 10z^2 + 7z + 10 = 0 given that one root is 2 - i.

Answer 1

\[3z^3 - 10z^2 + 7z + 10 = 0 \]
\[(z+2-i) (3 z+2) (z+2+i) = 0\]
\[3z+2=0\]
\[z=-\frac{2}{3}\]

Answer 2

How did you find the factor (3z+2) ?

Answer 3

Multiply z+2-i with z+2+i and divide the product by the given equation to obtain 3z+2.

Answer 4

@Aron West , The thing is he wants to know the roots of complex numbers first,
Roots of complex numbers always conjugate to each other, so you'll get
(z+2−i)=0
(z+2+i)=0
From 2 - i

Answer 5

Thank you.

Answer 6

Welcome!