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padilas [110]
2 years ago
10

State the number of complex roots, the number of positive real roots and the number of negative real roots of

Mathematics
1 answer:
harkovskaia [24]2 years ago
8 0

9514 1404 393

Answer:

  • 2 complex roots
  • 2 positive real roots
  • 0 negative real roots

Step-by-step explanation:

The signs of the terms are + - - +. There are two sign changes, so 0 or 2 positive real roots.

Negating the signs of the odd-degree terms, the signs are + + + +. There are no sign changes, so 0 negative real roots.

For x=0, the value of the quartic is +3. For x=1, the value is -3, so we know there are 2 positive real roots, one of which lies in the interval (0, 1).

The 4th-degree polynomial equation must have 4 roots, so the other two must be complex.

  • 2 complex roots
  • 2 positive real roots
  • 0 negative real roots

_____

The roots are approximately 0.489999841592, 2.06573034434, −0.777865092969 ± 1.53582061225i

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3 years ago
A city has a population of 230,000 people. suppose that each year the population grows by 3.5% . what will the population be aft
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Connor is stuck in a traffic jam on a single-lane road. The traffic report tells him the traffic jam stretches for 5.5 miles. If
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Answer:

2323

Step-by-step explanation:

According to the questions above, the report from the traffic jam says the traffics jam stretches for 5.5 miles

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5 0
2 years ago
Write a variable expression for each word phrase: <br><br> the product of c and 3
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7 0
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A rectangle has a width, w, equal to 6 less than the length, l. Which expressions represent ways to find the perimeter of the re
Irina-Kira [14]

Answer:

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