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faltersainse [42]
3 years ago
14

According to the complex conjugates theorem, if 5-i5 − i is a root of a function what else is a root?

Mathematics
1 answer:
Ad libitum [116K]3 years ago
8 0

Answer:

5 + i

Step-by-step explanation:

The complex conjugates theorem states that if (a + ib) is a root of a polynomial equation then the complex conjugate (a - ib) will also be its root.

Now, in our case (5 - i) is a root of a polynomial.

The complex number (5 - i) has conjugate and it is (5 + i).

Therefore, (5 + i) will also be a root of the same polynomial. (Answer)

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Answer:

Equation:  \frac{3}{4}n+8=n-20

Solve for n:  n = 112

Step-by-step explanation:

To first set up the equation, you need to look at the verbal description and translate into numbers and operations:

'three fourths a number' =  \frac{3}{4} n

'plus 8' = + 8

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'20 less' = - 20

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Put the expressions together:

'three fourths a number plus 8':  \frac{3}{4}n+8

'20 less than the number': n - 20

Set them equal to each other and solve: \frac{3}{4}n+8=n-20

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Multiply both sides by \frac{4}{1}: \frac{4}{1}28=\frac{1}{4}n\frac{4}{1}

Solve for n:  n = 112

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