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
Svetllana [295]
3 years ago
14

1). If the discriminant of a quadratic equation is 28 describe the roots

Mathematics
2 answers:
Ganezh [65]3 years ago
6 0
1)B two real roots.
2)D two complex roots.
3) and 4) later
LenKa [72]3 years ago
5 0

1. Answer :B. 2 rational roots

Discriminant D >0 -----> 2 rational roots

Discriminant D =0 -----> 1 real root

Discriminant D <0 -----> 2 imaginary roots

D = 28 >0 So 2 rational roots

2. Answer : 2 complex roots

5x^2 -2x+1=0

Discriminant D =b^2 - 4*a*c= (-2)^2 -4*(5)(1) = 4 - 20 = -16

D = -16 <0 so 2 complex roots

3. 3x^2 +9=5-4x

3x^2 +9=5-4x3x^2 +4x +9-5 = 03x^2 + 4x +4  = 0

Now solve for x, use quadratic formula

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

x = \frac{-4+-\sqrt{4^2 - 4*3*4}}{2*3}

x = \frac{-4+-\sqrt{-32}}{6}

x =\frac{-4 + - 4i\sqrt{2} }{6}

x= \frac{-2 + - 2i\sqrt{2} }{3}

The roots are complex

Solution set is ( \frac{-2 + 2i\sqrt{2} }{3}  , \frac{-2 - 2i\sqrt{2} }{3} )

4. x^2-6x-5=0

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

x = \frac{-(-6)+-\sqrt{(-6)^2- 4*1*(-5)}}{2*1}

x = \frac{6+-\sqrt{56}}{2}

x = \frac{6+-2\sqrt{14}}{2}

x =3 +-\sqrt{14}

Solution set { 3 +\sqrt{14} , 3 -\sqrt{14}  )


You might be interested in
(1 pt)
Karolina [17]
C. they are worth the same amount of money, 1/2 and 2/4 are both 50% or 50 cents
4 0
2 years ago
A right circular cylinder has a height of 20 and 1/2 feet in diameter of 1 1/5 times its height what is the volume of the cylind
kaheart [24]

Answer:

it will be 9738.54

Step-by-step explanation:


3 0
3 years ago
Is it possible to express every decimal as a fraction (without rounding)?
rusak2 [61]

Yes, with exceptions. It is possible to express every decimal as a fraction,
without rounding, unless the decimal is non-terminating AND non-repeating.

4 0
3 years ago
Multiply
konstantin123 [22]

Answer:

7•3 = 21

Step-by-step explanation:

Improper Fraction: 21/4

Simple Fraction: 5 1/4

5 0
3 years ago
The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard
irga5000 [103]
Answer: B) About 16% of the books have fewer than 150 pages
8 0
2 years ago
Read 2 more answers
Other questions:
  • Simplify 6t+t ????????
    11·1 answer
  • What time would it be if you rotated the hour hand 90° counterclockwise?<br> [[ READ ATTACHMENTS ]]
    15·1 answer
  • There are 3 different roads from city a to city b and 2 different roads from city b to city
    14·1 answer
  • An airplane flies 1920 miles in 3 hours. What is it’s average speed in miles per hour?
    7·1 answer
  • Margo spends 0.25 of her paycheck on a new dress, 1/8 her paycheck on shoes, and $24 on a birthday present. If she spent $60 alt
    9·2 answers
  • What is the surface area of the rectangular prism described by the net below?
    9·2 answers
  • Please help I will give brainliest IF IT IS CORRECT
    14·1 answer
  • <img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%20%5E%208%7D%7B5%20%5E%203%7D" id="TexFormula1" title="\frac{5 ^ 8}{5 ^ 3}" alt="\
    11·2 answers
  • In a right triangle, the expression sin 47° is equal to what?​
    14·1 answer
  • What is 20% of 50 apples
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!