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
olga nikolaevna [1]
2 years ago
9

Which of the following equations have complex roots?

Mathematics
1 answer:
mestny [16]2 years ago
6 0

Answer:

A

Step-by-step explanation:

Complex roots of quadratic functions occur when the <u>discriminant is negative</u>.

<u>Discriminant</u>

b^2-4ac\quad\textsf{when}\:\:ax^2+bx+c=0

Evaluate the discriminant of each of the given equations.

\textsf{A.} \quad 3x^2+2=0

\implies a=3, \quad b=0, \quad c=2

\implies b^2-4ac=0^2-4(3)(2)=-24

As -24 < 0 the equation will have complex roots.

\textsf{B.} \quad 2x^2+1=7x

\implies 2x^2-7x+1=0

\implies a=2, \quad b=-7, \quad c=1

\implies b^2-4ac= (-7)^2-4(2)(1)=41

As 41 > 0 the equation does not have complex roots.

\textsf{C.} \quad 3x^2-1=6x

\implies 3x^2-6x-1=0

\implies a=3, \quad b=-6, \quad c=-1

\implies b^2-4ac=(-6)^2-4(3)(-1)=48

As 48 > 0 the equation does not have complex roots.

\textsf{D.} \quad 2x^2-1=5x

\implies 2x^2-5x-1=0

\implies a=2, \quad b=-5, \quad c=-1

\implies b^2-4ac=(-5)^2-4(2)(-1)=33

As 33 > 0 the equation does not have complex roots.

Learn more about discriminants here:

brainly.com/question/27444516

brainly.com/question/27869538

Learn more about complex roots here:

brainly.com/question/26344541

You might be interested in
Which smallest number must be assigned to # to make the number 378#96 divisible by 8?
skelet666 [1.2K]

Answer:

2

Step-by-step explanation:

378296/8=47287

5 0
3 years ago
I’m confused on this question. Can anybody help?
DENIUS [597]

Answer:

I believe the answer is 90

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
PLS ASAP ANSWER ONE MATH QUESTION CORRECTLY
Shtirlitz [24]
Hey there!
To find the volume, we simply find the separate volumes of all three cubes and add them. The formula for volume in a cube is s^3 with s being one side. Therefore since all the sides are 6, the volume of one cube is 216 units cubed.
Now, we multiply that by three to get the total volume of the three cubes, to get 648 cubic units- so A.
Hope this helps!
3 0
3 years ago
What is the slope of the line represented by the equation
larisa [96]

Answer:

Slope  is 2/15.

Step-by-step explanation:

To find slope, equation should be written in y- intercept form.

y=mx + b, m is a slope.

(2/3)x -5y =10

5y = (2/3)x - 10

y=(2/15)x -2

Slope  is 2/15.

7 0
3 years ago
A man is 8x years old now. How old he will be in 10 years time ?
Bezzdna [24]
The man will be 8x + 10.
5 0
1 year ago
Other questions:
  • Which angles intercept a 20° arc in a circle? Select all that apply.*A central angle of 10°*A central angle of 20°*A central ang
    8·1 answer
  • Please help with homework! thank you!!
    7·2 answers
  • an astronomical unit is about 9.3•10^7 miles. Mercury is about 0.38 astronomical units from the sun. What is mercury’s distance
    11·1 answer
  • Olivia and her three siblings bring a sack lunch to school each day, consisting of a bagel, an apple, a cookie, and a juice box.
    12·2 answers
  • Which equation should be used to find the volume of the figure?
    13·2 answers
  • yesterday kofi earned 50cedis mowing lawns. today kofi earned 60% of what he earned yesterday mowing lawns.How much did kofi ear
    6·1 answer
  • Help please i’ll give u brainlist!!!
    8·1 answer
  • 7(6m - 4) = -364 pls try and show work thanks!
    6·2 answers
  • an initial investment of $9000 grows at an annual interest rate of 5% compounded continuously. how long will it take to double t
    14·1 answer
  • Number of operations I need help with understanding it
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!