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
kotykmax [81]
3 years ago
7

The quadratic function g(x) = ax^2 + bx + c has the complex roots (-5+9i) and (-5-9i). (you may assume that a = -1) what is the

value of b and c?
Mathematics
1 answer:
gavmur [86]3 years ago
4 0

Answer:

  • b = -10, c = -106

Step-by-step explanation:

<h3>Given</h3>

<u>Quadratic function </u>

  • g(x) = ax^2 + bx + c

with the roots:

  • (-5+9i) and (-5-9i)
<h3>To find </h3>
  • b and c if a = -1
<h3>Solution</h3>

<u>As we know the sum of the roots is -b/a and the product of the roots is c/a. Substituting values and solving for b and c:</u>

  • (-5 + 9i) + (-5 - 9i) = -b/-1
  • -10 = b
  • b = -10

And

  • (-5 + 9i)(-5 - 9i) = c/-1
  • (-5)² - (9i)² = -c
  • 25 - 81(-1) = -c
  • - c = 25 + 81
  • - c = 106
  • c = -106

g(x) = -x² -10x - 106

You might be interested in
The following two-way table describes student's
guajiro [1.7K]

P ( work/ senior ) = 0.14

The attached table

required

P ( work/ senior )

This is calculated using:

P ( work/ senior ) = n ( work/ senior )/ n ( senior ).

n ( work/ senior ) = 5

n ( senior ) = 25 + 5 + = 35

So:

P ( work/ senior ) = 5/35

P ( work/ senior ) = 0.14

Add 25+5+5 (because that is all the numbers in the 'Seniors' row) and then take the 5 that is in the 'Work' column and put that over 25. (5/25 fraction as a percent is 14).

Learn more about probability at

brainly.com/question/24756209

#SPJ4

7 0
1 year ago
A spinner has 3 sections of different sizes. The sections are orange, purple, and green. 1/4 of the spinner is orange. 7/12 of t
Harman [31]

Answer: it would be 2/3

Step-by-step explanation:

6 0
2 years ago
Bruce walks 34 mile in 15 hour. What is his speed in miles per hour?
erastova [34]

Answer:

S=D/T

34/15=2.26 mph

Step-by-step explanation:

3 0
3 years ago
Solve for k.
Alex Ar [27]

k= 4/9 or 0.444 in decimal form.

hope this helps!

5 0
2 years ago
Read 2 more answers
Complete the table below to classify the triangles as scalene or isosceles.
Dmitry_Shevchenko [17]
First two are scalene last one is isosceles.
5 0
3 years ago
Other questions:
  • What is the volume of a cylinder, in cubic feet, with a height of 7 feet and a base
    14·1 answer
  • Is this a function or no
    5·1 answer
  • How would i do number 2?
    13·1 answer
  • 4. For the expression below you are allowed to put in as many or as few brackets as you like. What
    5·1 answer
  • Find the distance between the points (-5,1) and (-2,-5)
    15·1 answer
  • -3.1x+7-7.4x-1.5x-6(x-3/2
    5·1 answer
  • Which equation illustrates the multiplicative identity property?
    5·1 answer
  • Janine borrowed $80 from her parents for a new headset of headphones she paid them $20 right and integer to represent how much s
    6·1 answer
  • Please help me i need to get it turned in
    10·1 answer
  • About 56% of the 2,553 students are enrolled
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!