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
Simora [160]
2 years ago
11

SOLVE x^4 − 15x^2 − 16 = 0 What are the roots of the equation?

Mathematics
1 answer:
kakasveta [241]2 years ago
8 0

Answer:

roots : 4, -4, i, -i

Step-by-step explanation:

This gets a bit tricky.

We have to substitude x^2 as u in this problem.

Now to rewrite x^4 − 15x^2 − 16 = 0 with u, we get

u^2 - 15u - 16 = 0

( u - 16) (u + 1)

U = 16

U = -1

<em>This is not the end of the problem. </em>

Now we have to substitute x^2 back to u.

x^2 = 16  --> we get the roots 4 and -4

x^2 = -1 --> we get the roots i and -i

tadah!

You might be interested in
Do most students walk, bike, or bus to school?
bonufazy [111]

Answer:

Most students ride the bus since the pie chart section is biggest at the bus section.

23 people walking / 100 people is 23% and 23% of 100 is 23 people.

Step-by-step explanation:

5 0
3 years ago
Assuming the probability that a student is accepted to UCF is 0.6. If 5 students from the same school apply, what is the probabi
igor_vitrenko [27]

Answer:

0.006

Step-by-step explanation:

0.6x0.005x0.02

7 0
2 years ago
Distribute 1/3(12y - 9)
allochka39001 [22]
3. 4y-3
because 1/3*12y - 1/3*9 = 4y - 3
7 0
3 years ago
HELP NEEDED 20 POINTS AND BRAINLIST!!!! Please explain your answer and no links! please!
guajiro [1.7K]

Answer:

From (0,0) and go down 1 and put a dot then down 4 and over to the right 1 and draw a line.

Step-by-step explanation:

Hope this helps have a nice day!

6 0
3 years ago
Which choice is the explicit formula for the following geometric sequence? 0.2, -0.06, 0.018, -0.0054, 0.00162
Crazy boy [7]

Answer:

aₙ = 0.2(-0.3)⁽ⁿ⁻¹⁾

Step-by-step explanation:

The geometric sequence with the first term a, a common ratio r has the nth term given as

Tₙ = arⁿ⁻¹

where Tₙ is the nth term

From the given sequence

a = 0.2

r = -0.06/0.2

= -0.3

Hence the nth term

= 0.2 * -0.3ⁿ⁻¹

The right option is E

8 0
3 years ago
Other questions:
  • 7.38 is what percent of 98.4
    14·1 answer
  • Simplify. (-2/3) - (3/5)
    10·2 answers
  • Cooper invested $510 in an account paying an interest rate of 3 3\8 % compounded daily. Nora invested $510 in an account paying
    7·1 answer
  • What is 394839348 + 3948593992934
    11·2 answers
  • Gregg is a wedding photographer. He charges $500 for his basic package and $150 for each hour he is at the wedding. Which equati
    9·1 answer
  • What is the different prime number of 34​
    12·2 answers
  • Write the equation of the line in fully simplified slope-intercept form.
    7·2 answers
  • Hello please help i’ll give brainliest
    9·2 answers
  • A family block of Chocolate is made up of 6o small squares
    6·1 answer
  • Is 17/8 and 1/2 a proportional
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!