Ask Question
14 April, 21:48

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

+1
Answers (1)
  1. 15 April, 00:59
    0
    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.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “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 ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers