Ask question

Ask question

All categories

3 years ago

7

If f(1) = 0, what are all the roots of the function f(x)=x3+3x2-x-3 ?

1 answer:

finlep [7]3 years ago

4 0

The roots are 1, -3 and -1.
Solving a cubic equation:
http://www.1728.org/cubic2.htm

You might be interested in

Choose the solution(s) of the following system of equations x2 + y2 = 6 x2 – y = 6

ElenaW [278]

<h2>Answer</h2>

$x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1$

Or as ordered pairs: $(\sqrt{6} ,0),(-\sqrt{6} ,0),(\sqrt{5} ,-1),(-\sqrt{5} ,-1)$

<h2>Explanation</h2>

Lets solve our system of equations step by step

$x^2+y^2=6$ equation (1)

$x^2-y=6$ equation (2)

1. Solve for $x^2$ in equation (2)

$x^2-y=6$

$x^2=6+y$ equation (3)

2. Replace equation (3) in equation (1) and solve for $y$

$x^2+y^2=6$

$6+y+y^2=6$

$y^2+y=0$

$y(y+1)=0$

$y=0$ or $y=-1$

3. Replace the values of $y$ in equation (3) and solve for $x$

- For $y=0$

$x^2=6+y$

$x^2=6$

$x=\sqrt{6}$ or $x=-\sqrt{6}$

- For $y=-1$

$x^2=6+y$

$x^2=6-1$

$x^2=5$

$x=\sqrt{5}$ or $x=-\sqrt{5}$

So, the solutions of our system of equation are:

$x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1$

6 0

2 years ago

Read 2 more answers

Cody and Jordan were selling Flamin' Hot Cheetos to raise money for the Tornados. Cody sold 5 bags of Cheetos for every 3 bags J

andrew11 [14]

They sold 160 and for each 5 bags sold by one 3 bags are sold by another 3+5=8.

160/8=20.

Now Since Cody Sold 5 Bags for every 3 bags for Jordan

5x20=100

3x20=60

Cody Sold 100 and Jordan Sold 60

7 0

2 years ago

Read 2 more answers

How do i find the circumference of a circle

Molodets [167]

You have to do 3.14 times the diameter of the circle.

8 0

2 years ago

Read 2 more answers

Is 13/ 4 the same as 3 1/4 ? Explain your answer in complete sentences.

Andrew [12]

Answer:

no it is not the same.

Step-by-step explanation:

it is not the same because 13/4 is smaller than 3/14. 3 1/4 includes a whole number, and 13/4 doesn't.

4 0

2 years ago

Please help and if you can please explain it well thank you

Ksju [112]

Answer:

there is a feature on this app where u can take a picture and it will give u the answer. i would suggest trying that because it is quite useful

4 0

3 years ago