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
Makovka662 [10]
2 years ago
7

The nature of the roots of 3x^2+4x-5=0

Mathematics
1 answer:
Alexxandr [17]2 years ago
7 0

Answer:

Imaginary Roots

Step-by-step explanation:

The quadratic equation ax^2 + bx + c = 0 is written in standard form, and the formula is

x = [-b ± √(b^2 - 4ac)]/ 2a

Given:

3x2 - 4x + 5 = 0'

Here a = 3, b = -4 and c = 5

Substituting:

x = [-(-4) ± √((-4)2 - 4 × 3 × 5)]/ (2 × 3)

Further Simplification:
x = [4 ± √(16 - 60)]/6                 ----> Discriminant: b^2 - 4ac = -44 < 0.

x = [4 ± √-44]/ 6

Now, we get:

x = [4 ± 2√-11]/ 6

x = [2 ± i √11]/ 3

Therefore, The best description of the roots of the equation 3x2 - 4x + 5 = 0 is imaginary roots.

You might be interested in
What are these possible solutions for x&gt;10/8
Viefleur [7K]
10/8 can be simplified to 5/4, which is the same as 1.25 (divide numerator 5 by denominator 4).
So you have x>1.25.
All numbers greater than 1.25 are possible solutions.
3 0
3 years ago
Read 2 more answers
32 is 25% of x. Hurry please
kondor19780726 [428]
The answer is 128

hope that helps!
3 0
3 years ago
Read 2 more answers
Dave and ryan share some money in the ratio 7 : 4 . dave got $28, how much did ryan get?
Ronch [10]

Answer:

$16

Step-by-step explanation:

28/7=4

4*4=16

3 0
3 years ago
Read 2 more answers
100 multiply by 600 + 1000000=​
Slav-nsk [51]

Answer:

1060000

Step-by-step explanation:

just calculation does the job

6 0
3 years ago
Read 2 more answers
What are edges?<img src="https://tex.z-dn.net/?f=" id="TexFormula1" title="" alt="" align="absmiddle" class="latex-formula">
jenyasd209 [6]

Edges are a small amount of baby hair on the edge of the yest of your hair

6 0
3 years ago
Other questions:
  • A circle has a radius of square root 98 units and is centered at (5.9, 6.7). Write the equation of this circle. Please help!
    8·1 answer
  • The sum of 4 consecutive integers is 198
    5·1 answer
  • A shoe manufacturer was investigating the weights of men's soccer cleats. He felt that the weight of these cleats was less than
    9·1 answer
  • What does a tape diagram look like
    13·1 answer
  • Please help me please
    6·2 answers
  • There are four hundred students as Thompson Middle School. If 54% of the students are female, what is the ratio of female to mal
    11·1 answer
  • Canasta is played with two decks of 52 cards each plus the four jokers. A standard Canasta hand consists of 11 cards. How many h
    8·1 answer
  • Five less than three time a number is greater than two thrirds of that number
    8·1 answer
  • NEED HELP ASAP PLEASE PLEASE PLEASE​
    14·1 answer
  • If x-1/3=k and k=3 what is the value of x
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!