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
TEA [102]
3 years ago
12

What two numbers add to 15 and multiply to negative 312?

Mathematics
1 answer:
natima [27]3 years ago
6 0
X + y = 15
xy = -312

     x + y = 15
x - x + y = -x + 15
           y = -x + 15

                                           xy = -312
                               x(-x + 15) = -312
                           x(-x) + x(15) = -312
                                 -x² + 15x = -312
                       -x² + 15x + 312 = 0
           -1(x²) - 1(-15x) - 1(312) = 0
                    -1(x² - 15x + 312) = 0
                                  -1              -1
                          x² - 15x + 312 = 0
                          x = -(-15) ± √((-15)² - 4(1)(312))
                                                  2(1)
                          x = 15 ± √(225 - 1248)
                                               2
                          x = 15 ± √(-1023)
                                         2
                          x = 15 ± 31.984i
                                         2
                          x = 7.5 ± 15.992
                          x = 7.5 + 15.992    or    x = 7.5 - 15.992
                          x = 23.492        or         x = -8.492

              x + y = 15
     23.492 + y = 15
   - 23.492        - 23.492
                    y = -8.492
              (x, y) = (23.492, -8.492)

                      or

              x + y = 15
     -8.492 + y = 15
   + 8.492         + 8.492
                   y = 23.492
             (x, y) = (-8.492, 23.492)

The two numbers that add up to 15 and mutliply to -312 are -8.492 and 23.492.
You might be interested in
Identify the savings options and the investment options. business ownership bonds money market account promotional CD
Bond [772]

Answer:

The given options are -

business ownership

bonds

money market account

promotional CD

Now we have to identify these under saving options or investment options.

So, saving are :

promotional CD and money market account ( money market account is a type of saving account that can pay higher interest rate than normal savings accounts, but these accounts have higher minimum deposits.)

And investment are :

business ownership and bonds.

8 0
3 years ago
Read 2 more answers
WHAT ARE THE SPECIFIC RULES FOR PROVING SIMILARITY IN TRIANGLES? EXPLAIN.
weeeeeb [17]

Answer:

AAA (Or even just two angles work too, since the last has to be the same no matter what) ASA and SSS

Step-by-step explanation:

I believe this is the same as before? As far as I know these are the main rules for proving similarity. (AAS and A** do not exist (Brainly won't let me say the two Ss), make sure no trick questions get you ;p)

I'm not sure if what you needed earlier was the relationships between angles to find them? Like to find Exterior Angles subtract <C from 180 = <EA?

4 0
3 years ago
70% of the 30 sandcastles at Donatello Beach have moats. how many more moats are there​
bixtya [17]

Answer:

21 moats

Step-by-step explanation:

.70 x 30 = 21

4 0
3 years ago
Read 2 more answers
Radiant energy has properties similar to __
natulia [17]

Answer: Light waves

Step-by-step explanation:

Used in the usual sense, radiant energy is just light. When you turn on your electric stove unit, it heats up and emits radio waves, infrared waves, and visible light waves. All of these waves are just light with different frequencies.

6 0
3 years ago
Read 2 more answers
A bag with 8 marbles has 8 yellow marbles. A marble is chosen from the bag at random. What is the probability that it is yellow?
konstantin123 [22]

Answer: 1

Step-by-step explanation:

8 yellow / 8 total = 8/8 = 1

8 0
2 years ago
Other questions:
  • Find g(1) if g(x) = x^2 + 1.<br><br> 2<br> 3<br> 4<br><br> Answer is NOT 3.
    11·2 answers
  • There are 30 students in Mrs. Taylor's kindergarten class. If there are twice as many students with blond hair as with blue eyes
    14·1 answer
  • The ninth grade class is putting on a 5k race to raise money. It cost 250$ to rent the park that they are going to use. If they
    11·1 answer
  • Every year, approximately 25,000,000 kg of hair is cut in the U.S. Each kg of hair contains about 0.0002 kg of zinc, and each kg
    12·2 answers
  • [HELP PLEASE] 12, 13, 14<br><br>the last answer on 14 is log2 z over 11
    13·1 answer
  • Kate gave 5/6 of her CD's to Sue. Sue gave 7/8 of these to Joan. Joan gave 3/5 of these to Ann. If Ann recieved 70 CDs, how many
    7·1 answer
  • How to solve for the slope
    5·1 answer
  • 2 po
    6·1 answer
  • 50 POINTS
    7·2 answers
  • Please help me ill give 20 points and mark brainliest
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!