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
Elena L [17]
2 years ago
14

What two numbers multiply to 15 and add to 6

Mathematics
2 answers:
WITCHER [35]2 years ago
8 0

Answer:

\left ( \frac{6+\sqrt{24}i}{2}\,,\,\frac{6- \sqrt{24}i}{2} \right )\,,\,\left (\frac{6-\sqrt{24}i}{2}\,,\,\frac{6+ \sqrt{24}i}{2}  \right )

Step-by-step explanation:

Let a and b be two numbers such that a+b=6\,,\,ab=15

From equation a + b = 6 , we have b = 6 - a . On putting this value of b in equation ab=15 , we get a(6-a)=15\Rightarrow 6a-a^2=15\Rightarrow a^2-6a+15=0

We will solve this equation using quadratic formula : For equation of form Ax^2+Bx+C=0 , x=\frac{-B\pm \sqrt{B^2-4AC}}{2A}

Solving  a^2-6a+15=0 :

a=\frac{6\pm \sqrt{36-60}}{2}=\frac{6\pm \sqrt{24}i}{2}

For a=\frac{6+\sqrt{24}i}{2} , b=6-\frac{6+ \sqrt{24}i}{2}=\frac{12-6-\sqrt{24}i}{2}=\frac{6- \sqrt{24}i}{2}

For a=\frac{6-\sqrt{24}i}{2} , b=6-\frac{6- \sqrt{24}i}{2}=\frac{12-6+\sqrt{24}i}{2}=\frac{6+ \sqrt{24}i}{2}

Katen [24]2 years ago
6 0
Since there are no number that multiply to 155 and add to 6 you must now use the Quadratic Formula.

x=(-b(+/-)√b^{2}-4ac)
                    2a
You might be interested in
In an examination, 80 students secured
faust18 [17]

Number of students who secured first class in English only is 20

Step-by-step explanation:

  • Step 1: Find the number of students who secured first class in English only.

Total number of students who secured first class in English or Maths, T = 80

Number of students who secured first class in Maths, M = 50

Number of students who secured first class in both English and Maths, EM = 10

⇒ Let the number of students who secured first class in English only be x.

Total students with first class, T = M + EM + x

⇒ 80 = 50 + 10 + x

⇒ 80 = 60 + x

∴ x = 80 - 60 = 20

3 0
2 years ago
The units of the subway map below are in miles. Suppose the routes between stations are straight. Find the approximate distance
Tcecarenko [31]

Answer: 9.5

Step-by-step explanation: took one for the team

4 0
3 years ago
PLEASEE HELP ANYONE
Grace [21]
1- Leave the 1st case empty

2- Write on the 1st row each element of the trinomial in each case

3-Write on the 1st column in each case each of the element of the binomial

              ║         y²                   -3y                 9
----------- ║-----------------------------------------------------
y             ║        y³                   -3y²                9y
----------- ║---------------------------------------------------
3             ║      3y²                  -9y                  27
------------║----------------------------------------------------
   TOTAL║(y³+3y²) +(-3y²-9y)   +  ( 9y+27)


If you add the Total you will get: (A)  Y³+27


6 0
2 years ago
The attendance at a seminar in 1 year was 500. in year 2, the attendance changed by 100. what was the percent change in the atte
Masja [62]

Answer:

C

Step-by-step explanation:

100/500=0.2

0.2=20%

3 0
3 years ago
Read 2 more answers
How to simplify this expression
dexar [7]

Answer:

  \dfrac{x+2}{x+1}

Step-by-step explanation:

Factor the numerator and cancel common factors from numerator and denominator.

  \dfrac{x^2-4}{(x-2)(x+1)}=\dfrac{(x-2)(x+2)}{(x-2)(x+1)}=\dfrac{x+2}{x+1}

5 0
3 years ago
Other questions:
  • Which of these is a square number 4 x 10^5 9 x 10^4 4 x 10^3 9 x 10^3
    11·1 answer
  • The manufacturer of banjos spends $250 to make each banjo and sells them for $400. The manufacturer also has fixed costs each mo
    5·2 answers
  • Write an expression that represents the sum of a number x and 11​
    8·1 answer
  • Find the measure if the missing angle. <br><br> Answer: a=
    12·2 answers
  • Pls help me solve pls show how you got the answer
    15·1 answer
  • 16 x 0.2 please answer correct
    14·2 answers
  • Escribe un párrafo con por lo menos 5 oraciones acerca de este crimen. ¿Quién cometió el crimen? ¿Por qué piensas que era esa pe
    15·1 answer
  • HELPPPP!!!!! ASAPPP!!! TIMEDDDDDDD!!!!!!!!!!!!!
    7·2 answers
  • Find f'(7), the derivative of f(x)= Square root x + 2 at X=7, using the LIMIT definition.
    10·1 answer
  • Need a quick answer please
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!