Solve the equation in the real number system.x* - x° + 4x– 16x – 192 = 0Select the correct choice below and fill in any answer boxes in your choice.A. The real solutions of the equation are x =(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed. Type each answer only once; do not duplicate answersin the case of repeated roots.)B. There are no real solutions.

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Asked Dec 21, 2019
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Solve the equation in the real number system.
x* - x° + 4x
– 16x – 192 = 0
Select the correct choice below and fill in any answer boxes in your choice.
A. The real solutions of the equation are x =
(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed. Type each answer only once; do not duplicate answers
in the case of repeated roots.)
B. There are no real solutions.
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Solve the equation in the real number system. x* - x° + 4x – 16x – 192 = 0 Select the correct choice below and fill in any answer boxes in your choice. A. The real solutions of the equation are x = (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed. Type each answer only once; do not duplicate answers in the case of repeated roots.) B. There are no real solutions.

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Expert Answer

Step 1

Consider the provided equation,

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x* -x +4x – 16x – 192 =0

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Step 2

Use the rational root theorem, a0=192 and an=1. The divider of a0 is 1,2,3,4,6,8,12,16,24,32,48,96,192.

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1,2,3,4,6, 8,12,16, 24,32, 48,64,96,192 Rational Zero =±

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Step 3

The root of the equation is -3 by trial and error method then, the factor is x+3. Now,...

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x* -x + 4x – 16x – 192 x* – x³ + 4x² – 16x – 192 = x+3 =(x+3)(x² – 4.x² +16x – 64)

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