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
5

Using the discriminant, describe the nature of the roots for the equation 49x^2 − 28x + 4 = 0.

Mathematics
1 answer:
scZoUnD [109]3 years ago
4 0

Answer:

Put the equation in standard form by bringing the 4x + 1 to the left side.

7x2 - 4x - 1 = 0

We use the discriminant to determine the nature of the roots of a quadratic equation. The discriminant is the expression underneath the radical in the quadratic formula: b2 - 4ac.

b2 - 4ac In this case, a = 7, b = -4, and c = -1

(-4)2 - 4(7)(-1)

16 + 28 = 44

Now here are the rules for determining the nature of the roots:

(1) If the discriminant = 0, then there is one real root (this omits the ± from the quadratic formula, leaving only one possible solution)

(2) If the discriminant > 0, then there are two real roots (this keeps the ±, giving you two solutions)

(3) If the discriminant < 0, then there are two imaginary roots (this means there is a negative under the radical, making the solutions imaginary)

44 > 0, so there are two real roots

You might be interested in
8. What would be the area of a trapezoid whose bases are 6 m and 14 m with a height of 4 m? * ​
Korolek [52]
A=40m

A=a+b
2h=6+14
2·4=40m²
8 0
3 years ago
The mean age of a student book club is 14.2 years. A 27-year-old teacher is invited to join the club. How does the teacher’s age
MAXImum [283]
The new mean age will be greater than 14.2 years because the teacher is older than the previous mean.
3 0
3 years ago
Read 2 more answers
CAT FOODA grocery store is selling 6 cans of cat food for $3. Write and solve an equation to find the cost of a can of cat food.
Digiron [165]

Answer:

6 * 3 = 18

Step-by-step explanation:

:l

4 0
3 years ago
Read 2 more answers
Which function represents an exponential
Leviafan [203]
I think its A!! But im not sure
6 0
3 years ago
3y+3 (1-y)-y=-6PLEASE help
Murrr4er [49]
3y+4+3y-y=-6
6y-y+4=-6
5y+4=-6
5y=-10
y=-2
If you have any questions let me know
7 0
3 years ago
Other questions:
  • Write all the factors of 24
    15·2 answers
  • 3. 6076 divided by 98
    10·1 answer
  • I need help on this:
    9·1 answer
  • Graph -7x+5y=35. khan acadmy forms of linear equations question. pls show work (10 points)
    7·2 answers
  • Find the unknown value in the ratio.
    7·1 answer
  • Fill in the blanks to make the equation true. 9 4× 1= 9 4× = 45 20
    8·1 answer
  • HELP ME PLEASE BC I ENTIRELY NEED IT!
    14·1 answer
  • Solve for z. u=vw+z.
    9·1 answer
  • PLS HELP ME GRADUATE ILL MARK BRAINLY A-AND ILL GIVE U A COOKIE!!! PLS
    10·1 answer
  • Write each expression in simplest form. (x²/x⁻¹¹)¹/₃
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!