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
Darina [25.2K]
1 year ago
7

What are the zeros of the function f(x) = x^4 - x² - 2?

Mathematics
1 answer:
vaieri [72.5K]1 year ago
7 0

Answer:

x= i\\\\ x = -i \\\\x=\sqrt 2\\\\x = -\sqrt 2

Step-by-step explanation:

~~~~~~x^4 -x^2 -2=0\\\\\implies x^2 \cdot x^2-2x^2 +x^2 -2 = 0\\\\\implies x^2(x^2 -2) +(x^2 -2) =0\\\\\implies (x^2 +1)(x^2 -2) = 0\\\\ \implies x^2 +1=0~~~~~~~~\text{or}~~~~~~~~~x^2 -2 = 0\\\\ \implies x = \pm\sqrt{-1}~~~~~~~\text{or}~~~~~~~~~~ x = \pm\sqrt 2\\\\\implies x= \pm i~~~~~~~~~~~~~\text{or}~~~~~~~~~ x= \pm\sqrt 2

You might be interested in
A crane is rented at $1000 per day plus a charge per hour of use. The crane was used for 7 hours on a day, and the total charge
GrogVix [38]
The equation can be (3450-1000)<span>÷7=350.</span>
5 0
3 years ago
3.5 × 4 brainliest...
arlik [135]

Answer:

14

Step-by-step explanation:

14

7 0
2 years ago
If 4 apples cost 0.80, how much do 12 apples cost
Neporo4naja [7]
4 / 0.80 = 12 / x...cross multiply
4x = 0.80 * 12
4x = 9.6
x = 9.6 / 4
x = 2.4.....12 apples cost $ 2.40
3 0
3 years ago
Read 2 more answers
If 5/8ths is equal to $531.25 what is the remaining portion of the number.
Nimfa-mama [501]
5/8 = .625
531.25 / .625 = 850
850 - 531.25 = $318.75

7 0
3 years ago
Helppp I just need it to be explained. #7
IceJOKER [234]
#7 is the easiest one.

a + bi = -9 + 4i

see the expression on either side matches up so..
 a = -9 and b = 4
5 0
3 years ago
Other questions:
  • A lizard needs to stay a safe distance from a cactus. The diameter of the cactus is 12 inches. If the lizard is 8 inches from a
    13·1 answer
  • How to graph in standard form
    7·1 answer
  • A football player attempts to kick a football over a goal post. The path of the football can be modeled by the function ,
    14·2 answers
  • How do you slice equations
    14·1 answer
  • Can any1 help me with this please ?
    14·2 answers
  • Jughead now earns $10.50 per hour. This is 175% of what he earned last year. How much did he earn last year?​
    10·1 answer
  • If (4,-3) is the midpoint of the line segment ST and the coordinates of S are (1,5), find the
    8·1 answer
  • Pls answer if u dont get answer right u. Get the boot no points and a report if u scam
    11·1 answer
  • A box of 15 cookies costs $9. how much is one cookie?
    5·2 answers
  • Two cartons of milk and one sandwich costs $3.00, and two sandwiches cost $4.20 without milk. Find the cost of one carton of mil
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!