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Find the product of 4+3i and its conjugate.the answer is a +bi where

Find The Product Of 43i And Its Conjugatethe Answer Is A Bi Where class=

Sagot :

The value of  a and b in the product of 4+3i  and its conjugate in the format a + bi are 25 and 0.

What is conjugate?

The conjugate is where we change the sign in the middle of two terms. For example:

3y + 1

conjugate of 3y + 1 is 3y - 1.

Therefore, the conjugate of 4 + 3i is 4 - 3i.

The product of 4 + 3i and its conjugate is as follows:

(4 + 3i)(4 - 3i) = 16 - 12i + 12i - 9(i)²

Therefore,

16 - 9i²

i² = -1

Hence,

16 - 9(-1) = 25

It can be written in the form a complex form → (25 + 0.i)

Therefore, a = 25 and b = 0.

learn more on conjugate here: https://brainly.com/question/20757260

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