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hoa [83]
3 years ago
6

What is the product of the complex number z1 and it’s conjugate? PLEASE HELP GRAPH in picture

Mathematics
2 answers:
Leviafan [203]3 years ago
4 0

Answer:

(-4-3i) (- 4 + 3i) = 25

Step-by-step explanation:

Notice in the graph that z1 has a real component of -4 and an imaginary component of -3.

Then we know that:

z_1 = -4-3i

By definition for an imaginary number of the form a-bi its conjugate will always be the number a + bi

So the conjugate of z_1 is:

-4 + 3i

The product of both numbers is:

(-4-3i) (- 4 + 3i) = 16-12i + 12i-9i ^ 2\\\\(-4-3i) (- 4 + 3i) = 16-9 (-1)\\\\(-4-3i) (- 4 + 3i) = 16 + 9\\\\(-4-3i) (- 4 + 3i) = 25

12345 [234]3 years ago
3 0

Answer:

The product is 25

Step-by-step explanation:

we know that

The complex number z1 is equal to

z1=(-4-3i)

we know that

To find the complex conjugate of (-4 - 3i) we change the sign of the imaginary part

so

The conjugate is equal to (-4+3i)

therefore

(-4-3i)(-4+3i)=16-9(-1)=25

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