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22 February, 21:22

The polynomial equation x^3-4x^2+2x+10=x^2-5x-3 has complex roots 3+2j What is the other root? Use a graphing calculator and a system of equations.

-3

-1

3

10

+3
Answers (1)
  1. 22 February, 22:35
    -1
    Simplifying x3 + - 4x2 + 2x + 10 = x2 + - 5x + - 3

    Reorder the terms: 10 + 2x + - 4x2 + x3 = x2 + - 5x + - 3

    Reorder the terms: 10 + 2x + - 4x2 + x3 = - 3 + - 5x + x2

    Solving 10 + 2x + - 4x2 + x3 = - 3 + - 5x + x2

    Solving for variable 'x'.

    Reorder the terms: 10 + 3 + 2x + 5x + - 4x2 + - 1x2 + x3 = - 3 + - 5x + x2 + 3 + 5x + - 1x2

    Combine like terms: 10 + 3 = 13 13 + 2x + 5x + - 4x2 + - 1x2 + x3 = - 3 + - 5x + x2 + 3 + 5x + - 1x2

    Combine like terms: 2x + 5x = 7x 13 + 7x + - 4x2 + - 1x2 + x3 = - 3 + - 5x + x2 + 3 + 5x + - 1x2

    Combine like terms: - 4x2 + - 1x2 = - 5x2 13 + 7x + - 5x2 + x3 = - 3 + - 5x + x2 + 3 + 5x + - 1x2

    Reorder the terms: 13 + 7x + - 5x2 + x3 = - 3 + 3 + - 5x + 5x + x2 + - 1x2 Combine like terms: - 3 + 3 = 0 13 + 7x + - 5x2 + x3 = 0 + - 5x + 5x + x2 + - 1x2 13 + 7x + - 5x2 + x3 = - 5x + 5x + x2 + - 1x2

    Combine like terms: - 5x + 5x = 0 13 + 7x + - 5x2 + x3 = 0 + x2 + - 1x2 13 + 7x + - 5x2 + x3 = x2 + - 1x2

    Combine like terms: x2 + - 1x2 = 0 13 + 7x + - 5x2 + x3 = 0

    The solution to this equation could not be determined.
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