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
I'll mark BRAINLIEST!
almond37 [142]

Answer:

it becomes a 3 unit hight

7 0
2 years ago
Read 2 more answers
PLEASE HELP ME evaluate cot pi/5
BaLLatris [955]
0.628 is your answer. hope this helps
6 0
3 years ago
Read 2 more answers
There are six different candidates for governor of a state. in how many different orders can the names of the candidates be prin
fiasKO [112]
Sorry, I don't have the answer to your question
6 0
3 years ago
Read 2 more answers
The pie chart is best because pie charts are a good way to portray percentage based data. B. The Pareto chart is best because it
konstantin123 [22]

Answer:

The pie chart is best because pie charts are a good way to portray percentage based data.

Step-by-step explanation:

Pie charts are used for graphical representation of data. The data can be shown in percentages or numbers. It is easy for the user to understand the data in the pie chart because it clearly represents the data in circular graphical form.

5 0
2 years ago
Mrs.Carle returned 10 books to the library. When she looked back in her classroom,she now had 88 books. Write an algebraic equat
Nata [24]
The algebraic equation is 10 + x= 88
4 0
3 years ago
Read 2 more answers
Other questions:
  • The population of Ashmore was 925 in 2000 and in 1028 in 2001. the linear model for ashmores population is p= 103t+925, where th
    6·2 answers
  • Write an equation of the line with the given characteristics: slope =1/3 ; passes through (6, 1).
    11·1 answer
  • The center of mass is defined as a point on the straight line between two objects with masses m1 and m2 such that L1 / L2 = M2 /
    14·1 answer
  • What is the area of a circle if the circumference is 144.4 inches
    8·1 answer
  • Given f(x) = -3x +4, solve for x when f(x) = 1.
    11·2 answers
  • Janet gets paid $24 per hour . She heard that this is 3/4 of what Adam is paid. How much is Adam paid per hour
    14·2 answers
  • if 15 workers complete a piece of work in 18 days in how many days will 27 workers complete the same work?​
    10·1 answer
  • EASY POINTS.........
    12·2 answers
  • 3 1/5 x 2 3/4= <br><br> In lowest terms
    5·1 answer
  • M=1/2(d1+d2) (solve for d1)
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!