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
5 fewer than a number is greater than 17
Schach [20]

Answer:

22

Step-by-step explanation:

17+5=22

6 0
3 years ago
Read 2 more answers
Which equation is correct
Anika [276]

For this case we have to define trigonometric relations of rectangular triangles that:

  • The cosine of an angle is given by the leg adjacent to the angle on the hypotenuse of the triangle.
  • The sine of an angle is given by the leg opposite the angle on the hypotenuse of the triangle.

Then, according to the figure we have:

Sin (G) = \frac {15} {17}\\Cos (G) = \frac {8} {17}

Answer:

Sin (G) = \frac {15} {17}

Option D

5 0
3 years ago
One half of your CDs are scratched. One fifth will not play properly. You have 40 CDs. How many will not work play properly
kvasek [131]
1/2 of 40= 20

40/5=8

20+8=28

28 of your CDs will not work properly.

I hope this helps!
6 0
3 years ago
Read 2 more answers
I need help with number 3
olya-2409 [2.1K]

Answer: He would earn $14

Step-by-step explanation: Since Sam had 11 games but only 9 of them were working just take 11 - 9 which = 2 then take 7 x 2 to get $14

Hope this helps

3 0
3 years ago
Read 2 more answers
Another question what's the formula for an open end of a cylinder??​
Kay [80]

Answer:

Formula for an opened end of a cylinder =

\pi r^2 +2\pi rh\\

Closed at both end =

2\pi r^2 +2\pi r h

Opened at both end =

2\pi rh

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Determine the ordered pair that satisfies the equation, -5x - 6y = -8.
    13·1 answer
  • Im not understanding.can someone help me please?
    8·1 answer
  • Yulet rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 7.
    9·1 answer
  • 21,4,9,19,25,16,27,30,33,15,31 Minimum: Quartile1: Quartile2: Quartile3: Maximum:
    14·1 answer
  • I am thinking of a positive number. If I square it, double the result, take half of that result, and then add 12, I get 21. What
    5·1 answer
  • A field test for a new exam was given to randomly selected seniors. The exams were graded, and the sample mean and sample standa
    12·1 answer
  • Solve the proportion 8/3= x/14
    10·1 answer
  • Sixty 11th graders were asked to select a favorite pattern out of 6 choices.
    5·1 answer
  • A devastating freeze in California's Central Valley in January 2007 wiped out approximately 75% of the state's citrus crop. It t
    5·1 answer
  • Round to the nearest hundredth 7.381
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!