In Example 6, change the middle three terms to the left of the = sign to 3x
Question:
In Example 6, change the middle three terms to the left of the = sign to −3x3 + 7x2 + 7x, given the same root.
Data from Example 6
Solve the equation 2x4 − 5x3 + 11x2 − 3x − 5 = 0, given that 1 + 2 j is a root. Because 1 + 2j is a root, we know that 1 − 2j is also a root. Using synthetic division twice, we can then reduce the remaining factor to a quadratic function.
The quadratic factor 2x 2 − x − 1 factors into (2x + 1) (x − 1). Therefore, the roots of the equation are 1 + 2j, 1 − 2j, 1, and −1/2. As we can see, the calculator display in Fig. 15.3 shows only the real roots.
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Related Book For
Basic Technical Mathematics
ISBN: 9780137529896
12th Edition
Authors: Allyn J. Washington, Richard Evans
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