(9 + 4i)^2
= 9^2 + (2)(9)(4i) +i^2 substitute i^2 for -1;
= 81 + 72i -1
= 80 + 72i
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(x - 4i)(x + 4i) where i is the square root of -1
To solve this problem, we first need to understand that "four times the number i" can be represented as 4i. Then, to find "12 fewer hats than 4i," we subtract 12 from 4i to get 4i - 12. Therefore, "12 fewer hats than four times the number i" is represented by the expression 4i - 12.
The four roots of 4√256 are {4, -4, 4i, and -4i}. Note that two of them are real numbers and the other two are pure imaginary, therefore 0 + 4i is the same as just 4i
7
To get the conjugate simply reverse the sign of the complex part. Thus conj of 7-4i is 7+4i