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1 vote
How many complex roots does the equation 0=4x4−x3−5x+3 have?

3

4

5

6

User Rgbchris
by
7.1k points

2 Answers

7 votes

Answer:

4

Explanation:

How many complex roots does the equation 0=4x4−x3−5x+3 have? 3 4 5 6-example-1
User Zsawaf
by
6.6k points
4 votes

Answer:

4

Explanation:

Descarte's rule of signs tells you that there will be 0 or 2 positive real roots and 0 negative real roots. A graph shows there are no positive x-intercepts, so 0 real roots.

All four roots are complex.

How many complex roots does the equation 0=4x4−x3−5x+3 have? 3 4 5 6-example-1
User Ameika
by
7.4k points