Question

What is the determined and rational multiplicative inverse of 5-4i?

Answer 1

Answer:

1/5-4i is the answer of this question

Answer 2

Answer:

5-4i / 41

Step-by-step explanation:

The formula for this is that

Z^-1 = Conjugate of Z / |Z|^2

So now conjugate is,

conjugate of z = 5 - 4i

now |z|^2 is

| Z | ^2 = a²+b²

= (-5)² + (4)²

= 25 + 16

= 41

Now substitute in the formula

Z ^-1 = conjugate of z / | Z |²

= 5 - 4i / 41

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