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
Lena [83]
3 years ago
6

Solve the equation in the complex number system. x^2-12x+40=0

Mathematics
1 answer:
mylen [45]3 years ago
5 0

solving the equation x^2-12x+40=0 we get x=6+2i\,\,and\,\,x=6-2i

Step-by-step explanation:

Solve the equation:

x^2-12x+40=0

We can solve using quadratic Formula:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

a= 1, b = -12, c = 40

Putting values:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-12)\pm\sqrt{(-12)^2-4(1)(40)}}{2(1)}\\x=\frac{12\pm\sqrt{144-160}}{2}\\x=\frac{12\pm\sqrt{-16}}{2}\\We\,\,know\,\,\sqrt{-1}=i\\ x=\frac{12\pm4i}{2}\\ x=\frac{12+4i}{2}\,\,and\,\, x=\frac{12-4i}{2}\\ x=\frac{4(3+i)}{2}\,\,and\,\, x=\frac{4(3-i)}{2}\\x=2(3+i)\,\,and\,\,x=2(3-i)\\x=6+2i\,\,and\,\,x=6-2i

So, solving the equation x^2-12x+40=0 we get x=6+2i\,\,and\,\,x=6-2i

Keywords: Solving quadratic equation

Learn more about Solving quadratic equation at:

  • brainly.com/question/1414350
  • brainly.com/question/1464739
  • brainly.com/question/7361044
  • brainly.com/question/1357167

#learnwithBrainly

You might be interested in
How does knowing properties of exponents
Amanda [17]

Answer:

It makes it easier to understand math and helps you answer the problem of which math you are doing.

Step-by-step explanation:

They are just a method used to do math

7 0
3 years ago
Identify whether this equation has one, zero, or
satela [25.4K]
In a bag there are 3 red, 3 yellow, 4 green, and 6 blue marbles. What is the probability of p ( blue ) ?
4 0
3 years ago
Write the decimal for 1/2
harkovskaia [24]
1/2 as a decimal is 0.5
8 0
3 years ago
Read 2 more answers
Using a pair of compass only construct a triangle ABC such that AB=9cm, angle BAC=60° and angle ABC=45°
Leto [7]

Answer:

AC=5.4 BC=7.2

Step-by-step explanation

180-60-45=75 degree

9/75=AC/45=BC/60

6 0
3 years ago
48 é dividido por 4?​
Fofino [41]
La respuesta es doce 12
can i get brainliest???
7 0
2 years ago
Read 2 more answers
Other questions:
  • Two vectors are given by a with arrow = 3 î + 6 ĵ and b with arrow = -1 î + ĵ. (a) find a with arrow ✕ b with arrow.
    15·1 answer
  • 16 pound turkey cost $14.24 what is the price per pound
    5·2 answers
  • Solve the Following Equation................<br> 15(x+4)=-2
    5·1 answer
  • 6th grade math question: On a change in number of correct answers from a first math test to a second math test, Antoine had 4 an
    13·1 answer
  • Eliminate the parameter. x = t - 3, y = t2 + 5
    15·1 answer
  • The picture is up there thank you:))
    13·1 answer
  • If x = 3 units, y = 6 units, and h = 5 units, find the area of the parallelogram shown above using decomposition.
    14·1 answer
  • 2. (0, 3); slope = -2
    10·1 answer
  • ( Which of the following best describes an ecosystem in a neighborhood garden?
    10·1 answer
  • You're trying to save to buy a new $150,000 Ferrari. You have $35,000 today that can be
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!