Question

Evaluate y=x squared minus 2x plus one for 3i

Answer 1

Answer:

$- 8 - 6i$

Step-by-step explanation:

The given expresion is

$y = {x}^{2} - 2x + 1$

We want to evaluate this expression when x=3i

We substitute to obtain:

$y = {(3i)}^{2} - 2(3i) + 1$

We simplify to get

$y = {3}^{2} \times {i}^{2} - 6i + 1$

Recall that

${i}^{2} = - 1$

This implies that:

$y = 9 \times - 1 - 6i + 1$

$y = - 9 - 6i + 1$

$y = - 8 - 6i$