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
puteri [66]
3 years ago
15

PLEASE HELP QUICK!!!!!!!!! Given the equation x2 + 4x + c = 0, determine a value for c that gives the equation: a) Two real solu

tions and find its solutions. b) Complex solution(s) and find its solution(s). c) Exactly one real solution and find its solution.
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
6 0

Answer:

a. two (distinct) real solutions.

c = 3, x=¨{-1,-3}

b. two complex solutions

c = 17, x={-2+sqrt(13)i, -2-sqrt(13)i}

c. two coincident roots (i.e. one real solution)

c=4, x = {-2}, or x = {-2, -2}

Step-by-step explanation:

Given:

x^2+4x+c =0

a. two (distinct) real solutions.

c = 3

(x+1)(x+3) = 0

x=¨{-1,-3}

b. two complex solutions

c = 17

x^2+4x+17=0

does not have real factors.

x={-2+sqrt(13)i, -2-sqrt(13)i}

c. two coincident roots (i.e. one real solution)

c=4

x^2+4x+4=0 => (x+2)^2 = 0 => perfect square

x = {-2}, or x = {-2, -2}

You might be interested in
ILL GIVE BRAINLIEST!!!!!!<br><br> Please explain!! Thank you!!
Bumek [7]

Answer:

The answer would be C

Step-by-step explanation:

He started at 250 lbs. He is losing 3 lbs every week.

So it would be y=250(beginning weight)-3x(how much he's losing every week)

Hope this helped :)

4 0
3 years ago
Read 2 more answers
AFTER distributing the 5, what will the constant be in the following equation?<br> 5(x+3)=-25
qwelly [4]
X = -8
Constant will be x
4 0
2 years ago
Angle C and angle D are supplementary. If the measure of angle D is 84 degrees, what is the measure
garik1379 [7]

Suplementary is angles add up to 180 degrees

C=180-D

C=180-84

C=96 degrees

Hope this helped :)

3 0
2 years ago
Read 2 more answers
22 8(11 + 2r) = 126r + 3
natulia [17]

8(11 + 2r) = 126r + 3​

first open the parenthesis

88 + 16r = 126r + 3

88 - 3 = 126r - 16 r

85 = 110r

divide both-side of the equation by 110

85/110 = r

r= 17/22

7 0
1 year ago
Convert to a mixed number 8/5
DerKrebs [107]

Answer:

The improper fraction 8/5 can be changed to the mixed number 1 3/5 by dividing the numerator (8) by the denominator (5). This gives a quotient of 1 and a remainder of 3.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify(-8q3r4s2)2 A.64q9r16s4 B.-64q9r16s4 C.-64q6r8s4 D.64q6r8s4
    7·2 answers
  • What is the perimeter of this polygon?<br> (2, 4)<br> (-1,2)<br> (3,-2)<br> (-2,-3)
    13·1 answer
  • A moving company charges $0.06
    15·1 answer
  • Help will give brainliest
    6·1 answer
  • Which statements are true the ordered pair (1, 2) and the system of equations?
    11·1 answer
  • Find the value of x for which ℓ ∥ m.
    7·1 answer
  • A train is accelerating at a rate of 2.0 km/hr squared. If it’s initial velocity is 20 km/hr, what is its velocity after 30 seco
    13·1 answer
  • Jacob needs to know the volume of the cylinder shown below. Which expression will give him the correct volume?
    12·2 answers
  • I WILL GIVE BRAINLIEST 5 STARS AND A HEART PLEASE HELPPPP
    8·1 answer
  • I only need the equation!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!