Question

If
$z = - 5 + 2 \sqrt{ - 4}$
then find the value of
${z}^{4} + 9 {z}^{3} + 35z^{2} - z + 4$

Answer 1

z=-5+4i. (i=√-1)

z+5=4i

(z+5)^2=-16

${z}^{2} + 10z + 41 = 0$

divide

${z}^{4} + 9 {z}^{3} + 35 {z}^{2} - z + 4$

by this and u get a reminder put value of z and that will be your answer

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