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2 years ago

What are the zeros of the function f(x) = x4 − 4x2 − 5?

Mathematics

2 answers:

levacccp [35]2 years ago

7 0

Answer:

See below ~

Step-by-step explanation:

The function is :

f(x) = x⁴ - 4x² - 5

=============================================================

Plotting on a graph :

⇒ Once plotted on graph, check where the line of the function intersects the x-axis

⇒ Those will be the zeros of the function

===========================================================

Solution :

⇒ x = -2.236

⇒ x = 2.236

Gekata [30.6K]2 years ago

4 0

Answer:

A graph shows zeros to be ±3. Factoring those out leaves the quadratic

(x-2)² +1

which has complex roots 2±i.

The function has roots -3, 3, 2-i, 2+i.

Step-by-step explanation:

You might be interested in

Hey how to do this and what the answer

frez [133]

Answer:

5x + y - 4 = 0

Step-by-step explanation:

When we are given two points and are asked to find the equation of the line we use the two - point form.

Two - point form: $\frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1}$ .

where: $(x_1,y_1)$ and $(x_2,y_2)$ are the two points on the line.

Given the two points are: (5,21) and (-5,-29).

Substituting in the two point form:

⇒ $\frac{y - 21}{-29 - 21} = \frac{x - 5}{-5 -5}$

$\implies \frac{y - 21}{-50} = \frac{x - 5}{-10}$

$\implies y - 21 = 5x - 25$

⇒ 5x + y - 4 = 0

8 0

3 years ago

Derek buys a house for £150,000

Elden [556K]

Answer:

cost price=$150,000

selling price =$154,000

profit= $154,000-$150,000=$4,000

Therfore Percentage Profit= 4,000÷15,000×100=2.7%

Percentage Profit =2.7%

7 0

3 years ago

because the angles in a rectangle are 90 degrees it is not a parallelogram true or false? please explain why

ra1l [238]

A parallelogram is a 4-sided shape where opposites sides are parallel. A rectangle is a special case of a parallelogram. All rectangles are parallelograms.

But a rectangle is a shape where opposites sides are parallel *and* all the corners are 90 degree angles. So you can't say that all parallelograms would be rectangles. Some parallelograms would be rectangles, but not all.

Rectangles are a subset of the shapes called parallelograms. But parallelograms are *not* a subset of the shapes called rectangles.

It's similar to saying all cars are vehicles. But you can't say that all vehicles are cars.

6 0

3 years ago

If you had a billion dollars and you spend one dollar every second how many years would it take you to spend it all

trapecia [35]

Answer: 31.71 years

Step-by-step explanation:

First, we need to find how many seconds are in a day.

There are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute.

There are 3,600 seconds in an hour. How did we find this? 60 (min) x 60 (sec)

There are 86,400 seconds in a day. 24 (hr) x 3,600 (sec)

Now we need to find how many seconds are in a year.

There are 365 days in a year, we can multiply that by 86,400.

365 x 86,400 = 31,536,000

Whew! Now that we have that out the way, we can now divide $1 billion by 31,536,000 seconds.

1,000,000,000/31,536,000 = 31.71 (rounded to the nearest hundredth)

If you had a billion dollars, it will take 31.71 years to spend one dollar every second.

3 0

3 years ago

Read 2 more answers

Lionfish are considered an invasive species, with an annual growth rate of 67%. A scientist estimates there are 8,000 lionfish i

natita [175]

Answer:

There would be 173,535 lionfish after 6 years.

Step-by-step explanation:

Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:

A)

8000 x 1.67 ^ n = f

B)

8000 x 1.67 ^ 6 = X

8000 x 21.691961596369 = X

173,535.692770952 = X

C)

(8000 - 1200 x 1 ^ n) x 1.67 ^ n = f

Therefore, there would be 173,535 lionfish after 6 years.

5 0

2 years ago