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Identify all of the real roots of 4x^(4)+31x³-4x²-89x+22=0

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Final answer:

The real roots of the equation 4x^4 + 31x³ - 4x² - 89x + 22 = 0 are approximately x = -1.4 and x = 0.1.

Step-by-step explanation:

To identify the real roots of the equation 4x4 + 31x³ - 4x² - 89x + 22 = 0, we can use various methods such as factoring or using the rational roots theorem. However, in this case, factoring may be difficult, so we can use a graphing calculator or software to find the real roots. By graphing the equation, we can find that the real roots are approximately x = -1.4 and x = 0.1.

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