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
EleoNora [17]
3 years ago
12

Solve for x in the equation x2-12x+59=0.

Mathematics
2 answers:
laila [671]3 years ago
5 0

\frac{-b+-\sqrt{b^2-4ac} }{2a}; ax^2+bx+c \\ \\ a=1, b=-12, c=59

Use the formulas above to solve the equation.

1x^2-12x+59=0\\ \\ \frac{-(-12)+-\sqrt{(-12)^2-4(1)(59)} }{2(1)}\\ \\ \frac{12+-\sqrt{144-236} }{2}\\ \\ \frac{12+-\sqrt{-92} }{2}

Now this problem will be giving i values since there's a negative in the square root. These i's are known as imaginary numbers. For the answer it should be these two:

x =(12-\sqrt{-92})/2=6-i\sqrt{23} = 6.0000-4.7958i

x =(12+\sqrt{-92})/2=6+i\sqrt{23} = 6.0000+4.7958i

Let me know if you need help with finding i and all or if you just needed the answer to check your work. Hope this helps!

Svetllana [295]3 years ago
4 0
I think it is -5.9. Sorry if I'm wrong.
You might be interested in
Which type of triangle can be formed with sides measuring 8 inches 8 inches and 3inches
lisabon 2012 [21]
An isosceles triangle. This triangle has 2 sides that are equal.
4 0
3 years ago
Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 13 ​people, while each carton of c
lutik1710 [3]

Answer:

  233 cartons of food; 467 cartons of clothing

Step-by-step explanation:

This linear programming problem can be formulated as two inequalities (in addition to the usual constraints that the variables be non-negative). One of these expresses the constraint on weight. Let f and c represent numbers of food and clothing containers, respectively.

  40f +25c ≤ 21000

The other expresses the limit on volume.

  20f + 5c ≤ 7000

_____

<u>Feasible Region vertex</u>

We can subtract the boundary line equation of the first inequality from that of 5 times the second to find f:

  5(20f +5c) -(40f +25c) = 5(7000) -21000

  60f = 14000

  f = 233 1/3

The second boundary line equation can be rearranged to find c:

  c = 1400 -4f = 466 2/3

The nearest integer numbers to these values are ...

  (f, c) = (233, 467)

The other vertices of the feasible region are associated with one or the other variable being zero: (f, c) = (0, 840) or (350, 0).

<u>Check of Integer Solution</u>

Trying these in the constraint inequalities gives ...

  • 40·233 +25·467 = 20,995 < 21000
  • 20·233 +5·467 = 6995 < 7000

<u>Selection of the Answer</u>

The answer to the question will be the feasible region vertex that maximizes the number of people helped. That is, we want to maximize ...

  p = 13f + 6c

The values of p at the vertices are ...

  p = 13·233 + 6·467 = 5831

  p = 13·0 + 6·840 = 5040

  p = 13·350 + 6·0 = 2100

The most people are helped when the plane is filled with 233 food cartons and 467 clothing cartons.

7 0
3 years ago
What is the value of x
Zolol [24]

Answer:

765854sdfgh

Step-by-step explanation:

6 0
3 years ago
Determine the area of the yellow sector
Lyrx [107]

The area of the yellow sector is 15/8 π in² in pi form.

6 0
3 years ago
Can someone tell me if I'm right or give me the answer? plzzz. I'm giving 100 points so... just answer quick. 0_0
BabaBlast [244]

Answer:

your right

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is 21 divided by 1/3?
    11·2 answers
  • Which graph represents a function??
    5·1 answer
  • Explain why the equation (x-6)^-13=12 has two solutions. Then solve the equation to find the solutions. Show your work.
    6·1 answer
  • Ray is going to purchase a computer for $1,500. if the sales tax is at 7%, how much will he pay total
    9·2 answers
  • Write an addition sentence that equals 1 X 5
    7·2 answers
  • Flight 202's arrival time is normally distributed with a mean arrival time of 6:30 p.m. and a standard deviation of 15 minutes.
    7·1 answer
  • Round the number to the place value of the BIG number. 68,974,512 and 8 is the big number?
    11·1 answer
  • A group of students were surveyed to find out if they like working as a camp counselor and/or as a lifeguard during summer break
    10·2 answers
  • How do you write product 60 x 1
    15·1 answer
  • This is probably easy but I zoned out in class so yeah
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!