Is the equation 3x² 11x 10 0 a quadratic equation?

Answers

Answer 1

Yes , the equation 3x² + 11x + 10 = 0 is a quadratic equation and the roots are x = -5/3 and x = -2

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c = 0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the equation be represented as A

Now , the value of A is

3x² + 11x + 10 = 0   be equation (1)

Now , the equation is of the form ax² + bx + c = 0 , where the value of a = 3 , b = 11 and c = 10

So , the coefficient a is has the variable x² and equation 3x² + 11x + 10 = 0 is a quadratic equation

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

Substituting the values in the equation , we get

x = [ -11 ± √ ( ( 11 )² - 4 ( 3 ) ( 10 ) ) ] / 2 ( 3 )

On simplifying the equation , we get

x = [ -11 ± √ ( 121 - 120 ) ] / 6

x = ( -11 ± 1 ) / 6

So , the two roots of the equations are

x = ( -11 - 1 ) / 6 and

x = ( -11 + 1 ) / 6

x = -2 and

x = -5/3

Therefore , the values of x are -5/3 and -2

Hence , the roots of the quadratic equations are -5/3 and -2

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Related Questions

The difference of 1 and twice a number is at most one third the
number(Which of the following models this description?
A. 21 – 2x<_ 1/3x
B. 21 – 2x = 1/3x
C. 21 – 2x >_ 1/3x
D. 21 – 2x < 1/3x

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Answer:

Step-by-step explanation:?

Solve the system by substitution 5x+2y=17 -4x+7=y

HELP PLEASEEE

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Answer:

y=−9/2 x+12

HEART IF IT HELPED!!

8 added to the product of 7 and x cubed

Answers

Answer:

7x³+8

Step-by-step explanation:

I'm guessing that you are looking for the equation

7*x^2=7 (assuming that x=1)

7+8=15

So the answer is 15 not sure though might wanna double check urself

Find the probability of getting 3 heads and 1 tail when flipping a coin 4
times. (write your answer as a reduced fraction)

pls

Answers

Answer:

The probability is 4/16 = 1/4

Step-by-step explanation:

To get 3 heads, means that one gets only one tail. This tail can be either the 1st coin, the 2nd coin, the 3rd, or the 4th coin. There are only 4 outcomes which have three heads....hope this helped


A (0,0) B(-6,0)
C (-6, 3)
(x,y) - (x + 6, y + 3)

Answers

Answer:

plz send full question

Step-by-step explanation:

according to your book

z
Note: Figure is not drawn to scale,
If x = 4 units, y = 17 units, and z = 3 units, then what is the surface area of the rectangular prism shown above?
OA.
131 units
OB. 330 units
C.
204 units
D
262 units2

Answers

i think its C, 204 units

Lightning strikes Earth 1000 times in 10 seconds. How many seconds does it take for lightning to strike 7250 times? It takes seconds for lightning to strike 7250 times.

Answers

Answer:

1000 / 10 = 100 strikes per second. Now, multiply by 12 to find the number of strikes that occurred. 100 * 12 = 1200 strikes in 12 seconds. Part B: Divide the number of seconds to the number of lightning strikes to find the average rate. 10 / 1000 = 0.1 seconds per strike. Now, multiply by 7250 to find the number of seconds that passed.

Step-by-step explanation:

Solve for x.
A) 4
C) 1
B) 10
D) 12

Answers

Answer:

A) 4

Step-by-step explanation:

3*4 = 12

1+12=13

What is the surface area of the cylinder with height 6 in and radius 7 in? Round your answer to the nearest thousandth.

Answers

Answer:

571.77

Step-by-step explanation: I might be wrong so don't really trust me

Olivia is an athlete. During training this morning, she ran three laps. It took her 5 6minute to finish the first lap. The second lap took her 1 12more minutes than the first lap. The third lap took her 1 10less minutes than the second lap. How much time did it take her to finish the third lap?

Answers

Answer:

First lap time = 5/6 minute

Second lap time = 11/12 minute

Third lap time = 49/60 minute

Step-by-step explanation:

:))

Olivia is an athlete. During training this morning, she ran three laps. It took her 5 6minute to finish the first lap. it takes her to finish the third lap time in 49/60 minutes.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Olivia is an athlete. During training this morning, she ran three laps. It took her 5 6minute to finish the first lap.

The second lap took her 1 12more minute than the first lap.

The third lap took her 1 10less minute than the second lap.

First lap time = 5/6 minute

Second lap time = 11/12 minute

Third lap time = 49/60 minute

Learn more about the unitary method;

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MULTIPLE CHOICE !! HELP

Answers

Answer:

Its D

Step-by-step explanation:

Answer this, please.

Answers

13 runners, if you add up all the runners in each column you get 13 :)
The mileage was recorded for

13 runners


Just add up the number that all the bars hit and you get 13

Happy answering!

PLS HELP ME! I’m tired.

Answers

Answer:

30.5*10=350$

Step-by-step explanation:

you have to multiply the number without the decimal point then add it later but if its tenn u must move the place value of the decimal point 1 to the right.

hope it helps

Help!! I'll give brainlist...​

Answers

Answer:

c

Step-by-step explanation:

Helppppp please it’s timed

Answers

Answer:

Estimated population of New Hampshire is

A. 35,000

Express 21/10 as a decimal

Answers

Answer:

2.1

Step-by-step explanation:

Solve for x

PLEASE HELP ME DUE IN 10 MINS

Answers

Lol look who it is multiply 3*2 add 10

if u put any links I will report​

Answers

Answer:

72% increase

Step-by-step explanation:

688-400= 288 increase

288/400= 0.72

0.72x100=

72% increase

Which of these shapes can be classified as a polygon, quadrilateral, and a parallelogram?

Answers

Answer:

Step-by-step explanation:

Help! Il give brainlest!

Answers

I’m pretty sure it’s 72 since you have to subtract the lowest number to the highest number to find range

Write two different

expressions to find the total cost of an item

that costs $a if the sales tax is 6%. Explain

why the expressions give the same result.

Answers

Answer:

Total cost = $a + 0.06a

Total cost = a(1 + 0.06)

Step-by-step explanation:

Given that :

Cost of item = $a

Sales tax = 6%

Total cost = cost of item + sales tax

Total cost = $a + (6% of a)

Equation 1:

Total cost = $a + 0.06a

Equation 2:

Total cost = $a + 0.06a

Total cost = a(1 + 0.06)

Aliyah rode her bike at a speed of 10 miles per hour for 1.5 hours and then traveled at a speed of 7.5 miles per hour for 2 hours. What is the total distance that Alyah rode her bike during this time?

Answers

Answer:

Step-by-step explanation:

S(peed) = 10 mph

time = 1.5 hours

distance = s * time

distance = 10 * 1.5 = 15 miles

s = 7.5 mph

t = 2 hours

d = s * t

d = 7.5 * 2 = 15

Here total distance = 15 + 15 = 30 miles.

The population of town is 32600. about 27% are over 60 years old. About 19% are 16 or under. How many are between 16 and 60?

Answers

Answer:

Number of population between  16 and 60 =17,604

Step-by-step explanation:

population of town = 32600

Percentage of people over 60 years old=27%

Percentage of people 16 or under =19%

Percentage of people between  16 and 60= 100%-(27% +19%)

100-(46) =54%

Number of population between  16 and 60 =Percentage of people between  16 and 60 x population of town

=54% x 32600

=17,604

Leia is trying to find the best price for 6 pairs of colored shoelaces. If 3 pairs of colored shoelaces cost $20 at Sprint Sneakers, and 2 pairs of colored shoelaces cost $12 at Shoe Sanctuary, how many dollars will Leia save if she buys 6 pairs of colored shoelaces from Shoe Sanctuary instead of Sprint Sneakers?

Answers

Answer:16

Step-by-step explanation:

Sprint is 2shoe sanc. 2 for 12

2

4

6                       36 - 20 is 16

12

24

36

Please help, i need it for a test, I'll give you brainliest :]

Answers

Answer:

Step-by-step explanation:

C

pls help I need the full working thanks​

Answers

Answer:

x=3

Step-by-step explanation:

so in order to solve this question we are going to plug in u for 2^x

3((2^x)/2)=2^x+4

3u/2=u+4

3u=2u+8

u=8

we can put 2^x back into the equation in order to find x

2^x=8

2^x=2^3

x=3

if one jar of coffee costs $y, what will be the cost of four jars of coffee​

Answers

4 jars of coffee is going to cost 4 times $4

Answer:

hi

Step-by-step explanation:

i think so

if one jar of coffee costs y$ then 4 jars of coffee costs

4y$

have a nice day

3m^n+12mn^2 with an explanation please !

Answers

Am I supposed to factor it or Find the GCF????

yall this one too i need help quick guys plz and ty

Answers

Answer:

b. (4,2)

Step-by-step explanation:

step one: isolate x in the first equation

substitute x=6-y: [tex]\begin{bmatrix}2\left(6-y\right)-2y=4\end{bmatrix}[/tex]

[tex]\begin{bmatrix}12-4y=4\end{bmatrix}[/tex]

[tex]-4y=-8[/tex]

[tex]y=2[/tex]

step two: isolate y in the second equation, substitute y=2

[tex]x=6-y[/tex]

[tex]x=6-2[/tex]

[tex]x=4[/tex]

Answer:

b

Step-by-step explanation:

Given the 2 equations

3x + 3y = 18 → (2)

2x - 2y = 4 → (2)

Multiplying (1) by 2 and (2) by 3 and adding the result will eliminate the y- term

6x + 6y = 36 → (3)

6x - 6y = 12 → (4)

Add (3) and (4) term by term to eliminate y

12x + 0 = 48

12x = 48 ( divide both sides by 12 )

x = 4

Substitute x = 4 into either of the 2 equations and solve for y

Substituting into (1)

3(4) + 3y = 18

12 + 3y = 18 ( subtract 12 from both sides )

3y = 6 ( divide both sides by 3 )

y = 2

solution is (4, 2 ) → b

Can someone help me figure this out I'm completely lost and this is due in like an hour, the question is "Use the diagram to find the length of GH​."

Answers

Answer:

GH = 4

Step-by-step explanation:

GH = AB due to congruency markings therefore

5y - 8 = 3y

-8 = =2y

4 = y

Answer:

GH=12

Step-by-step explanation:

You use what this other solution to the answer was. However, they did not include that GH is 3y, so while one y=4, 3y=12. Therefore, GH=12

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