1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pashok25 [27]
3 years ago
14

What are all of the real roots of the following polynomial? f(x) = x4 - 13x2 + 36

Mathematics
2 answers:
GREYUIT [131]3 years ago
5 0
ANSWER

A. -3, -2, 2, and 3

EXPLANATION

The given polynomial function is,

f(x) = {x}^{4} - 13 {x}^{2} + 36

To find the real roots, we equate the function to zero to obtain;

{x}^{4} - 13 {x}^{2} + 36 = 0

We can solve this equation as a quadratic equation in
{x}^{2}.

Thus we rewrite the equation as,

({x}^{2})^{2} - 13 {x}^{2} + 36 = 0

We split the middle term to get,

({x}^{2})^{2} - 9 {x}^{2} - 4 {x}^{2} + 36 = 0.

We factor to get,

{x}^{2} ( {x}^{2} - 9) - 4( {x}^{2} - 9) = 0

We factor to get,

( {x}^{2} - 9)( {x}^{2} - 4) = 0

Either

{x}^{2} - 9 = 0
or

{x}^{2} - 4 = 0

x = \pm \sqrt{9} \: or \: x = \pm \sqrt{4}
x = \pm3 \: or \: x = \pm2

x=-3,-2,2,3

The correct answer is A
Sergio [31]3 years ago
3 0
X^4 - 13x^2  + 36 = 0

(x^2 - 9)(x^2 - 4) = 0

x^2 - 9  = 0  gives x = 3, -3

x^2 - 4  = 0,  gives x = 2, -2.

Answer is A.
You might be interested in
50 POINTSSSSSSS!!!!!!!!!!!!!!!!!!!!!!!!!!!
WARRIOR [948]

Answer:

where is the 50 points mate

Step-by-step explanation:

4 0
3 years ago
How much is it but don’t stop it fast cash x
Crazy boy [7]

Answer:

yes

Step-by-step explanation:

4 0
2 years ago
Ella and some friends are going to a movie. Each movie ticket costs $5. Create an equation that shows the relationship between h
Zarrin [17]

Answer:

Step-by-step explanation:

Cost of one ticket = $ 5

Cost of 'n' tickets = 5 * n = 5n

c = 5n

3 0
3 years ago
Read 2 more answers
PLEASE HELP!! A.S.A.P!!!
tresset_1 [31]

tan A = height /base = 2/3

7 0
2 years ago
0.5=0.4y - 0.25x Solve for y<br>​
Ad libitum [116K]

Answer:

y=0.625x+1.25

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • Can someone help me do 8 divided by 5.5?? Thanks!!
    9·1 answer
  • Ari buying 10 1/2 feet of rope that costs $5.25 per foot.How much will Ari spend?
    5·1 answer
  • Twenty pounds of a salt-water solution contains fifteen percent salt. How much salt is in the water?
    11·1 answer
  • A window cleaning service charges under $75 to clean all of the windows of a house. Write an inequality to represent the amount
    8·1 answer
  • I need help asap!!!!!!!!!!!!!!!!!!!!
    14·1 answer
  • What is 37 feet into yards and feet
    8·1 answer
  • Write down the first 3 term and the required term of these sequences
    8·1 answer
  • MOON The expression gives the weight of an object on the Moon in pounds with a weight of w pounds on Earth. What is the weight o
    14·1 answer
  • Giselle spent 7/10 of her money on a book and 10/100 of her money on food. What fraction of her money did she spend altogether?
    12·2 answers
  • Solve the equation: |x^2+5x+6| = -(x^2+5x+6), find the mode here
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!