All categories

3 years ago

What are the real or imaginary solutions of the polynomial x^3=9x

Mathematics

1 answer:

dem82 [27]3 years ago

8 0

Hello from MrBillDoesMath!

Answer:

x = 0, +\-3

Discussion:

x^3 = 9x => subtract 9x from both sides

x^3 - 9x = 0 => factor x from both terms

x(x^2-9) = 0 => x = 0 or x^2 - 9 = 0

x = 0, +\-3

Thank you,

MrB

You might be interested in

1/4x +4 = 1/2 solve with explanation

IRINA_888 [86]

Answer:

Step-by-step explanation:

Given the equation

1/4x +4 = 1/2

Solving for x

Subtract 4 from both sides

1/4x +4 - 4 = 1/2 - 4

1/4 x = (1-8)/2

1/4 x = -7/2

Cross multiply

2x = -7*4

2x = -28

x = -28/2

x = -14

Hence the value of x is -14

3 0

3 years ago

Let f be the function given by f(x)=ln x/x for all x 0. the derivative of f is given by

Dmitriy789 [7]

Using the quotient rule

f'(x) = x * 1/x - ln x 1 - ln x
----------------- = --------- <-------- ur answer
x^2 x^2

6 0

3 years ago

Help please<br><br> Factorise<br><br> x²-x-56<br><br> its due in 4 minutes

Iteru [2.4K]

Answer:

(x-8)(x+7)

Step-by-step explanation:

using quadratic formula we have

x= $\frac{-b+-\sqrt{b^{2}-4*a*c}}{2*a}$

we have:

x^2-x-56=0

a= 1 b=-1 c=-56

so we have:

x=(-(-1)+-sqrt(1^1-4*(1)*(-56)))/(2*1)

x=1+-sqrt(1-4*(-56))/(2)

x=(1+-sqrt(225))/2

x=(1+-15)/2

so we have the roots:

x1=(1+15)/2 =8

x2=(1-15)/2=-7

so the answer is (x-8)(x+7)

7 0

3 years ago

Read 2 more answers

Choose the correct molecular geometry of the phosphorus atom in each of these ions from the list below: A) square plane B) T-sha

mario62 [17]

Answer:

See attached picture.

Step-by-step explanation:

See attached picture.

For remaining parts resubmit question.

5 0

3 years ago

The population of rabbits on an island is growing exponentially. In the year 1990, the population of rabbits was 1200, and by 19

kobusy [5.1K]

Answer:

2023 rabbits

Step-by-step explanation:

The exponential model consists of the following expression:

$y = A \cdot r^{t}$

Where:

$A$ - Initial population.

$r$ - Increase rate.

$t$ - Time

$y$ - Current population.

The initial population and increase rate are, respectively:

$1200 = A \cdot r^{0}$

$A = 1200$

$1700 = 1200 \cdot r^{4}$

$r^{4} = \frac{1700}{1200}$

$r^{4} = \frac{17}{12}$

$r = \sqrt[4]{\frac{17}{12} }$

$r \approx 1.091$

The exponential model that predicts the population of rabbits is:

$y = 1200\cdot 1.091^{t}$

Lastly, the expected population for the year 1996 is:

$y = 1200\cdot 1.091^{6}$

$y\approx 2023.624\,rabbits$

5 0

3 years ago

What are the real or imaginary solutions of the polynomial x^3=9x​

What are the real or imaginary solutions of the polynomial x^3=9x