3 years ago

Find all the roots of the equation x4 - 2x3 + 14x2 - 18x + 45 = 0 given that 1 + 2i is one of its roots.

1 answer:

7 0

Asked and answered elsewhere.
brainly.com/question/10192511

Knowing that 1+2i is a root, you also know that 1-2i is a root, so one quadratic factor is
(x -1)² -(2i)² = x^2 -2x +5

Long division of the given polynomial by this quadratic gives a quotient of
x² +9
which has roots ±3i.

Then all the roots are {-3i, 3i, 1-2i, 1+2i}.

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ch4aika [34]

ANSWER

$2 \times 2$

EXPLANATION

The dimensions of a matrix is of the form:

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The dimensions of the first matrix is

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Since the inner products are the same,the outer products give the dimensions of the product of the two matrices.

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Therefore the dimensions of the product is a 2×2 matrix.

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