What are the solutions of 2x2 - 6x + 5 = 0 ?

Answers

Answer 1

Final answer:

(Option C: (3 + i)/2 and (3 - i)/2

The solutions to the quadratic equation 2x^2 - 6x + 5 = 0 are 1.5 + 0.5i and 1.5 - 0.5i, as the discriminant is negative and indicates there are no real solutions, only complex ones.

Explanation:

The solutions of the quadratic equation 2x2 - 6x + 5 = 0 can be calculated using the quadratic formula, which is:

x = (-b ± √(b2 - 4ac)) / (2a)

For the given equation, a = 2, b = -6, and c = 5. Plugging these values into the quadratic formula, we get:

x = (6 ± √((-6)2 - 4(2)(5))) / (2(2))
x = (6 ± √(36 - 40)) / 4
x = (6 ± √(-4)) / 4

Since the discriminant (b2 - 4ac) is negative, this equation has no real solutions and two complex solutions. The final solutions are:

x = (6 ± 2i) / 4

x = (3 ± i)/ 2
x = 1.5 ± 0.5i

The solutions are 1.5 + 0.5i and 1.5 - 0.5i.

Related Questions

(7 * 10-5) (5 x 10-) =

x 10

Answers

Have you learned PEMDAS? (Parenthesis, exponents, multiplication, division, addition, subtraction). That is what I am going to do here.

The first parenthesis, let's solve. 7*10=70-5=65

The second parentheisis: I am assuming the negative sign is a typo, and this answer will be off if it is not. Sorry. 5*10=50

65*50=3250

I hope this helps, and let me know if you need further assistance.

Can someone answer this question?

Answers

Answer:

You're correct, it's 7.5!

Step-by-step explanation:

15% is still 15/100. So, if you to divide 100 by 2 to convert it to 50, then you divide 15 by 2 as well! And the answer to that is 7.5.

pls help! will give brainlist!

what is the value of x?

a. 60 degrees
b. 50 degrees
c. 40 degrees
d. 70 degrees

Answers

Answer:

A. 60°

Step-by-step explanation:

There's a very straight-forward explanation for this, thank god! XD

For this type of problem, there's a rule to follow for the outside angle. X and 120 should equal 180, so all you need to do is fill that gap.

180-120 = 60

60 is your answer because it completes the whole angle.

A ribbon that is 22 3/4 inches long has to be divided into 7 equal pieces

Answers

Answer:

each piece will be 3 1/4 inches

Step-by-step explanation:

22 3/4 can be rewritten as 91/4. to divide, you use keep, change, flip (keep the first fraction, change the sign, and flip the second fraction) . u will end up with 91/4 times 1/7, which is 91/28 or 3 1/4

Each piece of ribbon will be 3(1/4) inches.

What is expression?

Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

[tex]22\dfrac{3}{4}[/tex]

This expression can be rewritten

[tex]\dfrac{88+3}{4} = \dfrac{91}{4}[/tex]

Since ribbon has to be divided into 7 equal pieces

[tex]\dfrac{\dfrac{91}{4}}{7}[/tex]

[tex]\dfrac{91}{4} \times\dfrac{1}{7}[/tex]

[tex]\dfrac{91}{28} = \dfrac{13}{4}[/tex]

[tex]3\dfrac{1}{4}[/tex]

Learn more about expression here:

brainly.com/question/13947055

#SPJ2

NEED HELP PLEASE: The pyramid shown has a regular hexagon as a base. What is the literal area of the pyramid?

Answers

Answer:

864cm squared

Step-by-step explanation:

Formula for Lateral Area:

Lateral Area=1/2* (Perimeter of the Base)*Height

The Perimeter of the Base = 72cm

Height = 24

Answer = 1/2* 72* 24

Answer = 864cm squared

D is the answer for this problem

1.17 − 0.07a + (−3.92a) What is this ????

Answers

Answer: 17-3.99a

Step-by-step explanation:

Remove parentheses.

17- 0.07a- 3.92a17−0.07a− 3.92a

Collect like terms.

17+(−0.07a−3.92a)

Simplify.

17−3.99a

Approximately what are the zeros of this parabola?

Answers

Answer:

The zeros are approximately -1.65 and 3.65.

Approximately -2 and 4.

What is the volume of this right triangular prism?

Answers

Answer:

To calculate the volume of a triangular prism, measure the width and height of a triangular base, then multiply the base by the height by 1/2 to determine the triangle's area. Next, measure the height of the triangular prism and multiply this by the triangle's area to get the volume.

Step-by-step explanation:

Answer:

LXWXH

Step-by-step explanation:

Please answer correctly !! Will mark brainliest !!!

Answers

Answer:

no, because in a function, the input is paired or has only one output, but here 20 is paired to both 40 and 42, which doesn't make it a function.

what is the equation of the line?

Answers

Answer:

x=3

Step-by-step explanation:

try different values on the line! plug them in and you'll see that every x value is 3!

Answer:

x=3

Step-by-step explanation:

Because there is no slope (or the slope is undefined), there is another way to write the equation. Instead of y=mx+b, it will be either x=b or y=b, y=b being a horizontal line and x=b being vertical. To find b, simply find the value of x or y. The line has infinite points on it with one similarity, being their x value is 3. Hence, the equation is x=3.

use the equation tool to complete the table y= -670+33 (X)
Table:
X value Y value
40 650
41 683
42 716
43 749
44 ?

Answers

Answer:

782

Step-by-step explanation:

y = -670 + 33(44)

y = -670 + 1452

y = 782

Step-by-step explanation:

Step 1: Find y when x is 44

[tex]y = -670 + 33x[/tex]

[tex]y = -670 + 33(44)[/tex]

[tex]y = -670 + 1452[/tex]

[tex]y = 782[/tex]

Answer: [tex]? = 782[/tex]

SOS I NEED ANSWER RIGHT NOW SOMEONE PLEASE HELP ME :(

Answers

Answer:

The functions share a y intercept of -1

Step-by-step explanation:

Both functions cross the y axis and y=-1 and x=0

They both have the same y intercept

The triangle shown below has an area of 444 units^2

2

squared.

Find the missing side.

i need this rn

Answers

Where’s the picture so I can help?

Answer:

2 units

Step-by-step explanation:

First, let's set up an equation using the formula for the area of a triangle.

Then, see the attached photo on how I did it.

The answer: x = 2 units

A girl and a boy each randomly grab a piece of candy from a bowl containing 9 pieces of chocolate, 7 fruit chews, 9 lollipops, and 9 peppermints. Find the probability that both events A and B will occur. Give your answer a reduced fraction.

Event A: A girl grabs a lollipop

Event B: A boy grabs a fruit chew

Answers

Step-by-step explanation:

Answer: event a: 11

Event b: 4

Step-by-step explanation:

Since There are 44 cans in total, Event Will get 11 candies and event b Will get 4 candies.

a sound wave has a frequency of 627 hz and a wavelength of 3.25 m. what is the speed of the wave?

Answers

Answer:

2037.75m/s

Step-by-step explanation:

To calculate the speed of a wave, you need to multiply the wavelength by the frequency. In this case, 627*3.25=2037.75m/s. Hope this helps!

Final answer:

The speed of a sound wave with a frequency of 627 hz and a wavelength of 3.25 m is calculated using the formula v = f λ, where v is the speed, f is the frequency, and λ is the wavelength. Multiplying the given frequency and wavelength gives a speed of 2037.75 m/s for the sound wave.

Explanation:

The speed of a sound wave is calculated by multiplying its frequency by its wavelength using the formula v = f λ, where v is the speed of the wave, f is the frequency, and λ (lambda) is the wavelength.

Given that the frequency of the sound wave is 627 hz and the wavelength is 3.25 m, we can substitute these values into the formula to find the speed:

v = 627 hz × 3.25 m

NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!! First one who help will be marked brainliest

Answers

the answer is: 26.50

Sonya wrote each letter of LEDBETTER on a separate index card and put the cards in a box. She picked one letter at random, put the card back, and then repeated the experiment. If she performed this experiment 90 times, which is the best prediction for the number of times that Sonya would pick a T?

Answers

Answer: 20

Step-by-step explanation:

Given, Sonya wrote each letter of LEDBETTER on a separate index card and put the cards in a box.

Total letters = 9

Number of times T appeared = 2

Thus, if we pick one card , the probability of getting card with T would be :-

[tex]\dfrac{\text{Number of times T appeared}}{\text{Total letters}}\\\\=\dfrac{2}{9}[/tex]

If she performed this experiment 90 times, then the best prediction for the number of times that Sonya would pick a T would be :

Answer:

A = x(x − 4) − 0.5(8)(x − 4) − 3(7)

Step-by-step explanation:

x = length, making the width (x-4)

The stage closet will be (x-4)(8)(1/2)

The rectangle is 7(3)

That makes the painted area x(x-4) - 4(x-4)

So...

A = x(x − 4) − 0.5(8)(x − 4) − 3(7)

The printed area of the theater room is x(x − 4) − 0.5(8)(x − 4) − 3(7). Then the correct option is D.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A local school needs to paint the floor of its theater room, where the length of the floor, x, is at least 11 feet.

The width of the floor is 4 feet less than the length.

It will have a stage and a closet, and the remaining area of the floor will be painted.

Let, the length be x

Then the width will be (x - 4)

Then the stage closest will be

[tex]\dfrac{8(x- 4)}{2} \Rightarrow 4(x-4)[/tex]

The rectangle is 7(3)

The painted area will be given as

[tex]\rm x(x-4) - 4 (x-4)[/tex]

Then we have

[tex]\rm area = x(x - 4)- 0.5(8)(x - 4) - 3(7)[/tex]

More about the geometry link is given below.

https://brainly.com/question/7558603

please help means a lot will mark brainlist

Answers

Answer:

The correct one is the one that you have clicked on already.

Step-by-step explanation:

I agree with her she is right you are correct

Solve this problem:

X+7=12

Answers

Answer:

x=5

Step-by-step explanation:

because 5+7=12

you can figure it out by doing 12-7=?

the answer is 5 and thats your x

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