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
irga5000 [103]
3 years ago
14

6r^2+6r+12=0solve the square​

Mathematics
1 answer:
Sedbober [7]3 years ago
8 0

Answer:

\large\boxed{\bold{NO\ REAL\ SOLUTION}}\\\text{in the set of complex numbers}\\\boxed{x=\dfrac{-1\pm i\sqrt7}{2(1)}}

Step-by-step explanation:

6r^2+6r+12=0\qquad\text{divide both sides by 6}\\\\\dfrac{6r^2}{6}+\dfrac{6r}{6}+\dfrac{12}{6}=0\\\\r^2+r+2=0\\\\\text{Use the quadratic formula:}\\\\\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{hen the equation has two real solution}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

\text{We have}\ a=1,\ b=1,\ c=2.\\\\b^2-4ac=1^2-(4)(1)(2)=1-8=-7

\text{If you want solution in the set of complex numbers, then}\\\\\sqrt{-7}=\sqrt{(-1)(7)}=\sqrt{-1}\cdot\sqrt7=i\sqrt7\\\\x=\dfrac{-1\pm i\sqrt7}{2(1)}\\\\x=\dfrac{-1\pm i\sqrt7}{2}

You might be interested in
If x is 12% of 180, then what is the value of 7x ?
GuDViN [60]

Answer:

7uby-step explanation:

8 0
3 years ago
Simplify.<br> -2(y+3)+4y
stiks02 [169]
The correct answer is 2y-6 let me know if you want to know how I got that
6 0
3 years ago
Read 2 more answers
The triangles are similar.<br> What is the value of x?<br> Enter your answer in the box.<br><br> X=
Aleks04 [339]

Answer:

x=16

Step-by-step explanation:

5times 4=20

3times 4=12

4times 4=16

4 0
3 years ago
Which inequality is represented on the line?<br> -11-10
balandron [24]

Answer:

-1

Step-by-step explanation:

ssdsdsdsd

6 0
3 years ago
Read 2 more answers
What system shows the correct numbers to multiply by the coefficients in order to eliminate y from the first two
Ann [662]

Answer:

3 (5x+2y = 0)

2 (2x – 3y = -19)

Step-by-step explanation:

5x+2y=0 (1)

2x-3y=-19 (2)

To eliminate y from the first two equation when applying the linear combination method

We will multiply y Equation (1) and (2) with 3 and 2 respectively so that the coefficients of y in the two equations +6 and -6 respectively

3(5x+2y=0)

2(2x-3y=-19)

We have,

15x+6y=0 (3)

4x-6y= -38 (4)

Add Equation (3) and (4)

19x=-38

x= -2

Substitute x= -2 into (1)

5x+2y=0

5(-2)+2y=0

-10+2y=0

-10= -2y

y=-10/-2

=5

y=5, x=-2

3 0
3 years ago
Other questions:
  • the length of a rectangle is 7 cm less than its width what are the possible dimensions of the rectangle if its area is 120 squar
    15·1 answer
  • Match the equation with its graph 15x -12y=60
    11·1 answer
  • After a really rotten year in 2008, a baseball team won 120% as many games in 2009, which was 84 games. How many games did they
    10·2 answers
  • Math questions!! 30 points
    7·1 answer
  • What is the answer to... 5m+8n-2(3m-n)?
    10·2 answers
  • What is -4 3/10 - 8 3/10
    13·2 answers
  • How many terms are in the expression shown below?
    6·1 answer
  • What do you have to multiply a million by to get to a billion
    10·2 answers
  • The product of 12 and C is 36 in algebraic form
    14·1 answer
  • Please help me with this question :)​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!