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
Dmitry [639]
3 years ago
9

What two numbers add up to 6 and multiply to 12?

Mathematics
1 answer:
GuDViN [60]3 years ago
7 0
Erm

x+y=6
xy=12


x+y=6
y=6-x
sub back

xy=12
x(6-x)=12
6x-x^2=12
x^2-6x=-12
x^2-6x+12=0
quadratic formula
for
ax²+bx+c=0
x= \frac{-b+/- \sqrt{b^2-4ac} }{2a}

for
x²-6x+12=0
a=1
b=-6
c=12
and remember that √-1=i

x= \frac{-(-6)+/- \sqrt{(-6)^2-4(1)(12)} }{2(1)}
x= \frac{6+/- \sqrt{36-48} }{2}
x= \frac{6+/- \sqrt{-12} }{2}
x= \frac{6+/- (\sqrt{-1})(\sqrt{12}) }{2}
x= \frac{6+/- (i)(2\sqrt{3}) }{2}
x= \frac{6+/- 2i\sqrt{3} }{2}
x=3+/-i√3

the numbers are 3+i√3 and 3-i√3
no real numbers tho
You might be interested in
Need help ASAP
9966 [12]

Answer:

YES

Step-by-step explanation:

COZ I SEE

3 0
3 years ago
Read 2 more answers
6 fl oz= how many cups
natima [27]
1 oz = 0.125 cups so 6 oz = 0.75 cups

Hope this helps!
3 0
3 years ago
Read 2 more answers
Equation equivalent to 2(x+3)
grigory [225]

Answer:

2x+6

Step-by-step explanation:

use distributive property

a(b+c)

=

ab+ac

plz brainliest :)

4 0
3 years ago
What is the common difference in this equation?<br> f(n) = 7n + 2
alekssr [168]
The common difference is 2
7 0
2 years ago
What is the value of a when 3b−2a=17 and 4a+4b=−64?
ycow [4]

Answer:

(-b-81)/6=a

Step-by-step explanation:

3b−2a-17 = 4a+4b+64

3b-4b-17-64=4a+2a

-b-81=6a

(-b-81)/6=a

5 0
3 years ago
Other questions:
  • The number 1000 has _____ factors of 10
    11·1 answer
  • Mary is 3 years older than Sarah.winifred is twice as old as Mary. Altogether thei ages total 89. How old is Sarah
    6·1 answer
  • Name these least to greatest 2/3 2/9 5/6 11/18
    7·1 answer
  • A realtor uses a lock box to store the keys to a house that is for sale. The access code for the lock box consists of digits. Th
    13·1 answer
  • 4.89 gallons of milk is sold for $12.79. If you have $21.44 in your wallet. How many
    12·2 answers
  • How many yards long is a piece of fabric witha width of 5/8 yrd nd a area of 2 3/4 square yards?
    6·1 answer
  • Write the equation 6x-3y=9 in slope-intercept form. Then graph the line described by the equation .
    5·1 answer
  • Which graph shows the system x^2+y=2 x^2+y^2=9
    10·2 answers
  • A textbook store sold a combined total of 478 biology and history textbooks in a week. The number of biology textbooks sold was
    6·1 answer
  • Three runners, Dirk, Edith, and Foley all start at the same time for a $24$ km race, and each of them runs at a constant speed.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!