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
Charra [1.4K]
3 years ago
10

What are the solutions of the quadratic equation?

Mathematics
2 answers:
Cloud [144]3 years ago
8 0
We have x^2 + 2 · x · (11/2) + (11/2)^2  = - 24 + (11/2)^2;
Then, ( x + 11/2 )^2 = -24 + 121/4;
( x + 11/2 )^2 + 96/4 - 121/4 = 0;
( x + 11/2 )^2 - 25 / 4 = 0;
( x + 11/2 )^2 - (5/2)^2 = 0;
( x + 11/2 - 5/2)·( x + 11/2 + 5/2 ) = 0;
( x + 6/2 )·( x + 16/2 ) = 0;
( x + 3 )· ( x + 8 ) = 0;
x = - 3 or x = -8;
The first choice is the correct answer.
sineoko [7]3 years ago
3 0
Original equation:  
x^2 + 11x = -24 
 Move everything to the left hand side of the equation. To do this, add 24 to each side.
 x^2 + 11x + 24 = 0 
 Now figure out a combination of two numbers that when added equals 11 but when multiplied equals 24. The answer is 8 and 3. 
 (x + 8)(x + 3) = 0 
 You can check the result by doing FOIL.
 There are two values for which the equation works: x = -8 and x = -3.
You might be interested in
Can somebody please help me with this but not 13
natita [175]
Could you make the picture clear and back it up a little then i will see it better

5 0
3 years ago
Read 2 more answers
Is 0.6 60 and 6 equal?
quester [9]

Answer:

Yesss

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
9 – 4x = 2x whats the ancewer
zmey [24]

Answer:

3/2 is the answer

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Write an algebraic expression that models each word phrase four more than a number b
Alisiya [41]
The answer would be the first choice 4+b
5 0
3 years ago
Does anyone know how to solve this?
Bezzdna [24]

Use this version of the Law of Cosines to find side b:

b^2 = a^2 + c^2 − 2ac cos(B)

We want side b.

b^2 = (41)^2 + (20)^2 - 2(41)(20)cos(36°)

After finding b, you can use the Law of Sines to find angles A and C or use other forms of the Law of Cosines to find angles A and C.

Try it....

6 0
3 years ago
Other questions:
  • (please answer !)A box contains 720 marbles. The result of 20 marbles pulled at random from the box is given below. 5 red marble
    9·2 answers
  • Determine the total number of roots of each polynomial function. f (x) = 3x^4 + 1)^2
    15·2 answers
  • Six trig functions help!
    14·1 answer
  • danielle and drew are sightseeing for the day. between the two of them they take 124 pictures. if danielle takes 16 more than th
    15·1 answer
  • Help help help help help help help
    11·2 answers
  • Pleaseeee please please
    13·1 answer
  • Solve the inequality 2 (x - 2) +8.6 < 14.​
    15·2 answers
  • Edward is selling pencil sketches at an art festival. He has sold 8 of his large sketches and 6
    10·1 answer
  • Please Help I Will Give Brainliesttt!Select the correct answer. What was the most common rating in the 26-35 age group? Average
    10·1 answer
  • A shoe store uses a 60% markup for all of the shoes it sells.What would be the spelling price of a pair of shoes that has a whol
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!