What is the nature of roots of the equation 4x² 4x 1 0?

Answers

Answer 1

The nature of roots of the equation 4x² -4x -19 = 0 is : The roots are real.

Given quadratic equation to us is 4x² -4x -19 = 0.

With respect to Standard form ax² +bx +c = 0 , Discriminant of the quadratic equation is given by b² - 4ac . Here's a table for Nature of Roots .

SI. NO.          CONDITION                    NATURE OF ROOTS

   1               Discriminant > 1                   Real roots

    2              Discriminant = 1                   Equal roots

    3              Discriminant < 1                   Complex roots

Hence here , with respect to Standard form ,

• a = 4 , • b = -4 & •c = -19 .

⇒ Discriminant = b² - 4ac

⇒ Discriminant = (-4)² - 4 (4) (-19)

⇒ Discriminant = 16 + 304

Discriminant = 320

Hence since Discriminant is Greater than 0 , hence the nature of roots of the quadratic equation is real.

Learn more about the nature of roots here ;

https://brainly.com/question/12383696

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Related Questions

A surveyor holds a laser range finder 3 feet above the ground and determines that the range finder is 92 feet from a building and 106 feet from the top of the building. What is the height h of the building? Round your answer to the nearest tenth.

Answers

Answer:

55.64

Step-by-step explanation:

The range finder is 92 feet from the building and 106 feet from the top of the building i.e. hypotheses

We will use the Pythagorean theorem:

x^2 = 106^2 - 92^2

= 11,236 -  8,464

= 2,772

= √2,772

x = 52.64978632

The height of the building:

h = x + 3

= 52.64978632 + 3

= 55.64978632

or

≈ 55.64 feet

Step-by-step explanation:

the answer to the nearest is 55.64

pls help figure out part c, part e, and part f

Answers

part c : consecutive interior angle
part e: alternate interior angle
part f : vertical angle

I need help on 13 and 14, you will get 25 points with brainlyist!!!

Answers

Answer:

14 is C and 13 is also C

Step-by-step explanation:

so 14 and 13 a both C

mark brainliest or give 1 heart and 5 stars or maybe both

Yalll listen i was at a party with friends in the ghetto and the ice crean truck came and they had the hot cheetos with cheese and chill poured on it ....it was bussin bussin

Answers

Answer:

wowo cool

Step-by-step explanation:

Answer:

sounds cheeesyyy

Step-by-step explanation:

Plz helpp I’m bad at math

Answers

Answer:

40

Step-by-step explanation:

because a straight line is 180 degrees so 140 plus 40 equals 180

Answer:

40

Step-by-step explanation:

straight line is 180 degrees

180=140+x

140+40=180

25 points. Need help

Answers

Answer:

BD = 21 units

Step-by-step explanation:

By applying mean ratio theorem in the given triangle ABC,

[tex]\frac{AD}{BD}=\frac{BD}{CD}[/tex]

AD × CD = BD²

21 × 21 = BD²

BD² = (21)²

BD = 21

Therefore, measure of segment BD is 21 units.

Which of the following statements are true?


A) 3 lbs of sugar is sugar is required to make 60 muffins.


B) 120 lbs of sugar is required to make 6 muffins.


C) 0 lbs of sugars required to make 0 muffins.


D) The maximum number of muffins that can be made is 220

Answers

Answer:

C

Step-by-step explanation:

Because 0 lbs of sugar is required to make 0 muffins

I hope this is right

Find a unit vector in the direction of the given vector.
v = 9i − 6j

Answers

Given:

The given vector is:

[tex]v=9i-6j[/tex]

To find:

The unit vector in the direction of the given vector.

Solution:

If a vector is [tex]v=ai+bj[/tex], then the unit vector in the direction of the this vector is

[tex]\hat v=\dfrac{v}{|v|}[/tex]

Where, [tex]|v|=\sqrt{a^2+b^2[/tex]

We have,

[tex]v=9i-6j[/tex]

Here, [tex]a=9[/tex] and [tex]b=-6[/tex]. So,

[tex]|v|=\sqrt{9^2+(-6)^2}[/tex]

[tex]|v|=\sqrt{81+36}[/tex]

[tex]|v|=\sqrt{117}[/tex]

[tex]|v|=3\sqrt{13}[/tex]

Now, the unit vector in the direction of the given vector is:

[tex]\hat v=\dfrac{9i-6j}{3\sqrt{13}}[/tex]

[tex]\hat v=\dfrac{9i}{3\sqrt{13}}-\dfrac{6j}{3\sqrt{13}}[/tex]

[tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex]

Therefore, the required unit vector is [tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex].

pls pleaase pls help marking brainlisr

Answers

Answer:

1

Step-by-step explanation:

Each side of a circumscribed equilateral triangle is 16 meters. find the radius if the circle​

Answers


since each sides of triangle are equal

hence its an equilateral triangle

the formula for the radius of the

Equilateral Triangle Inscribed in a Circle

radius= side/√3

radius=16/√3

=9.237 meters

Help plsssssss:)))))))

Answers

Answer:

x = -14

Steps:

Rewrite the equation as -8 = 6+x

Then move all terms not containing x to the right side of the equation.

x = -8-6

Afterwords subtrack.

x = -14.

hope this helps :)

answer is x= -14. hope this helped!

53+2444= ??????? HELP I D K THE ANSWER

Answers

Answer:

2497

Step-by-step explanation:

Answer:

2497

Step-by-step explanation:

53 + 2444

= 0053 + 2444

= 2497

Pls help ASAP I DONT have time

Answers

Answer:

B: y = 3x + 6

The equation would be y=3x+6

you can plug in to test answer

6=3(0)+6
18=4(3)+6
27=7(3)+6
42=12(3)+6

Find the derivative of
y= 1/(3x^3)

Answers

Answer:

[tex]\displaystyle y' = \frac{-1}{x^4}[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = \frac{1}{3x^3}[/tex]

Step 2: Differentiate

Rewrite:                                                                                                         [tex]\displaystyle y = \frac{x^{-3}}{3}[/tex]Derivative Property [Multiplied Constant]:                                                   [tex]\displaystyle y' = \frac{1}{3} \frac{d}{dx}[x^{-3}][/tex]Basic Power Rule:                                                                                         [tex]\displaystyle y' = \frac{1}{3}(-3x^{-4})[/tex]Simplify:                                                                                                         [tex]\displaystyle y' = \frac{-1}{x^4}[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

3 drinks and 2 hot dog costs 7.70 and 2 drinks and one hot dog is 4.55 system of equation on drink and one hot dog to the nearest cents

Answers

Answer:

Drink = 1.4

Hot dog = 1.75

x + y = 3.15

Step-by-step explanation:

Let drink = x ; hot dog = y

3x + 2y = 7.70 - - (1)

2x + y = 4.55 - - - (2)

From (2)

y = 4.55 - 2x - - - (3)

Put y = 4.55 - 2x in (1)

3x + 2(4.55 - 2x) = 7.70

3x + 9.1 - 4x = 7.70

-x = 7.7 - 9.1

-x = - 1.4

x = 1.4

Put x = 1.4 in (3)

y = 4.55 - 2(1.4)

y = 4.55 - 2.8

y = 1.75

Drink = 1.4

Hot dog = 1.75

x + y = 3.15

I need this done, please

Answers

Ansewer : H - The mode of the number of miles Ian skated each day in July is less than the mode of the number of miles Ian skated each day in august

G varies directly as the square of j and inversely as m. If g=0.05 when j = 0.4 and m=1.6, what is g when j =6 and m=4

Answers

Answer: The value of G = 4.5

Step-by-step explanation:

As per given,

[tex]G\propto \dfrac{j^2}{m}[/tex]

When we replace proportional sign with an equal to sign, we get

[tex]G=k\dfrac{j^2}{m}[/tex], where k = constant

If G=0.05 when j = 0.4 and m=1.6, then

[tex]0.05=k\dfrac{0.4^2}{1.6}\\\\ 0.05=k(0.1)\\\\ k=0.5[/tex]

Now,

[tex]G=0.5\dfrac{j^2}{m}\\\\\Rightarrow\ G=0.5\dfrac{6^2}{4}\\\\\Rightarrow\ G=4.5[/tex]

hence, when j =6 and m=4, the value of G = 4.5

PLZS HELP NEED BY TODAY!!

Answers

X=20. Because that line is 180 and u subtract 40 and u do 140/7= 20

Answer:

20°

Step-by-step explanation:

ok so if 40 degrees is on one side its also on the side parallel from it

a straight line = 180 degrees

so 180 - 40 = 140

so 7x =140

we now divide 7 on both sides and get x=20 because the 7 cancels out

180 -40 =140

7x = 140

7x/7 =140/7

x=20

Hope I helped?

The population of bacteria doubles every 6 hours. By how much will it grow in three days. Write the equation

Answers

Answer:

Step-by-step explanation:

let x be the population

so we have ,

2x= 6h

?= 3 days or 3×24h

by cross multiplication we have

2x× 72h= 6h×?

?= 2x×72/6 = 24x

So, in three days the bacteria will b 24 times current population.

What is the difference in a SSS Postulate (side-side-side) and SAS Postulate (Side-angle-side)? How do i know which one its going to be? Thanks!!!

Answers

With a SSS you’ll only see the little tick marks but on a SAS you’ll see a tick, angle indication, then another tick

Which expression represents the perimeter of the figure below? *
2x + 4 y

w + 2x + 4y

w + x + y

2w + 2x + 4y

Answers

Step-by-step explanation:

Perimeter of figure =

[tex]w + x + x + y + y + y + y \\ = 1 \times w + 2 \times x + 4 \times y \\ = w + 2x + 4y[/tex]

This is for now I need help pls !!!!!!!

Answers

10 in would be iquviletnt to 30 but you do 30 so I belive it would be 50

Simplify 15.6 divided by negative 3..

Answers

Answer:

-5.2

Step-by-step explanation:

15.6 ÷ (-3) = -5.2


Please answer both of you can

Answers

You can put a 1 for the x that is by itself
Put a 1 for the x that is by itself

Thankssssssss

Is 8 a solution to the equation 3(x-6)=3x/4?


Explain your answer​

Answers

yes,
both sides equal 6

I don’t even understand the question please help

Answers

Just write an equation on each one
...........36/m...........

22
Consider the expression below.
3x - (2y + 2)
Evaluate the expression when x = 0.02, y = 0.1, and z = 0.3.
NEED HELP ASAP HELPING A FRIEND

Answers

Answer:

Step-by-step explanation:

So it 22

Answer: 0.007

Step-by-step explanation:

PLEASE HELP!!

Also the last option is

4 units left and 3 units down

Answers

Answer:

B

Step-by-step explanation:

Can someone please help me?

Answers

Answer:

scalene

Step-by-step explanation:

I'm so stuck I was taught this 5 months ago I don't remember this lol.

Answers

Answer:

C. 24 12/20

Step-by-step explanation:

4 3/4 × 6 4/5

24 3/4 × 4/5

24 12/20

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