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
mihalych1998 [28]
3 years ago
15

Use the discriminant to describe the roots of each equation. Then select the best description. x2 - 5x + 7 = 0

Mathematics
1 answer:
miv72 [106K]3 years ago
5 0
The general form of a quadratic (second degree) equation is 

a x^{2} +bx+c=0, where

D= b^{2}-4ac is called the Discriminant.


The Discriminant determines how many roots the equation will have as follows:

i)  if D>0, the equation has 2 roots.
ii) if D=0, the equation has 1 double root.
iii) if D<0, the equation has no roots.


In our equation, x^{2} -5x+7=0, a=1, b=-5, c=7

so the discriminant is D=(-5)^2-4*1*7=25-28<0


Thus the equation has no roots.


Remark: the equation has no roots in the Real numbers, but it has 2 roots in a larger set of numbers to be discussed in the future, the Complex numbers.
You might be interested in
How now why would a prism beat a sphere in a competion
Lemur [1.5K]

Answer:

Because a prism travels at the speed of light . :)

3 0
3 years ago
(2.8 x 10^8) / (7 × 10^2)
raketka [301]

Answer:

(2.8 x 10^8) / (7 × 10^2) = 400'000

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Solve for x. Each figure is a parallelogram
melomori [17]

Answer:

Step-by-step explanation:

THe sides are the same length

11=x+5

x=6

3 0
2 years ago
Find the common ratio 27,9,3,1,1/3
LenKa [72]

Answer:

1/3

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

9/27 = 1/3

Check by dividing the third term by the second

3/9 = 1/3

and so forth

1/3 = 1/3

etc

The common ratio is 1/3

8 0
3 years ago
Read 2 more answers
A stadium holds 50,000 people.The stadium is divided into 250 different seating sections.How many seats are in each section?
worty [1.4K]
50,000 ÷ 250 = 200

This means that there are 200 seats in each section.
8 0
3 years ago
Read 2 more answers
Other questions:
  • Help ASAP please!!!
    14·1 answer
  • Which statement is true tegarding a hydrogen bond?
    13·1 answer
  • Q1, The small bar of chocolate weighs 50g and 32p.
    6·1 answer
  • What is the value of X enter your answer in the box
    13·2 answers
  • PLEASE HELP ME!!!!!!!!!!!
    6·1 answer
  • After biking 5 ½ miles, Jada has travelled ⅔ of the length of her trip. How long is the entire length of her trip? Write an equa
    5·2 answers
  • Help me do this work
    11·1 answer
  • Someone please answer this, I would really be appreciative.
    13·1 answer
  • HELP PLEASE
    7·1 answer
  • 12 times 3/8 and simplified
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!