Use the quadratic formula to solve x^2 -3x - 5 = 0. Round to two decimal places.

Answers

Answer 1

Answer:

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=\frac{3+\sqrt{29}}{2},\:x=\frac{3-\sqrt{29}}{2}[/tex]

Step-by-step explanation:

Given the equation

[tex]x^2\:-3x\:-\:5\:=\:0[/tex]

solving with the quadratic formula

[tex]\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}[/tex]

[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\mathrm{For\:}\quad a=1,\:b=-3,\:c=-5[/tex]

[tex]x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:1\cdot \left(-5\right)}}{2\cdot \:1}[/tex]

[tex]x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{29}}{2\cdot \:1}[/tex]

separating the solutions

[tex]x_1=\frac{-\left(-3\right)+\sqrt{29}}{2\cdot \:1},\:x_2=\frac{-\left(-3\right)-\sqrt{29}}{2\cdot \:1}[/tex]

solving

[tex]x=\frac{-\left(-3\right)+\sqrt{29}}{2\cdot \:\:1}[/tex]

  [tex]=\frac{3+\sqrt{29}}{2\cdot \:1}[/tex]

  [tex]=\frac{3+\sqrt{29}}{2}[/tex]

also solving

[tex]\:x=\frac{-\left(-3\right)-\sqrt{29}}{2\cdot \:\:1}[/tex]

  [tex]=\frac{3-\sqrt{29}}{2\cdot \:1}[/tex]

  [tex]=\frac{3-\sqrt{29}}{2}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=\frac{3+\sqrt{29}}{2},\:x=\frac{3-\sqrt{29}}{2}[/tex]


Related Questions

Select all of the possible side lengths for the third side of a triangle if the first two
sides have lengths of 15 in. and 10 in.
9 in
5 in
27 in
3 in
21 in
13 in
12 in
25 in
Next

Answers

Answer:

9, 12, 13, 21

Step-by-step explanation:

let x be the third side, then

difference of 2 given sides < x < sum of 2 given sides , that is

15 - 10 < x < 15 + 10

5 < x < 25

The possible side lengths for the third side from the given list are

9, 12, 13, 21

HELP ASAP! What are the slope and the y-intercept of the linear function that is represented by the graph?
A. The slope is 2/3, and the y-intercept is -2.
B. The slope is 2/3, and the y-intercept is 3.
C. The slope is 3/2, and the y-intercept is-2.
D. The slope is 3/2, and the y-intercept is 3.​

Answers

Answer: Y: 2/3 X: 3/2

Step-by-step explanation:

Y rise: 2 run: 3

2/3= Is about 0.6666

And

X: rise: 3 run:2

3/2= 1.5

Answer:

I don't know what the person above put but the slope is 2/3 abd y intercept is -2 so the answer is A on edge

Step-by-step explanation:

IT IS A ON EDGE

Convert
431 base 10 divided by 112base 10​

Answers

Answer:

543 i think?

Step-by-step explanation:

What is the equation of the line shown in this graph?

Answers

Answer:

-3-2/-2-(-2)=m

Step-by-step explanation:

y²-y¹/x²-x¹=m

hope this helps

x^2-x-12 factor completely

Answers

(x+3)(x-4)

hope that can help

What causes a stars to shine brightly?

Answers

Answer:

Stars are actually exploding when you see them, so the light is produced from the explosion.

Step-by-step explanation:

:)

Answer:  Stars shine because they are extremely hot (which is why fire gives off light — because it is hot). The source of their energy is nuclear reactions going on deep inside the stars.

Step-by-step explanation:

In most stars, like our sun, hydrogen is being converted into helium, a process that gives off energy that heats the star, this energy also causes the star to shine brightly.

You decide to buy a 60 in plasma-screen TV. You borrow $4500 from the
electronics store at 1.9% per month simple interest, with no payments due for
2 years from the date of purchase.
How much will you owe on the loan after 15 months? Round your answer to
the nearest whole dollar.
A. $5783
B. $5355
C. $6552
D. $4586

Answers

The answer is A. $5,783

Explanation:

= $4,500.00(1 + [0.019 * 15])

= $4,500.00(1 + 0.285)

= $4,500.00(1.285)

= $5,782.50

Round $5,782.50 to the nearest whole dollar and you get $5,783

A fish is hovering at –320 feet in relation to sea level. Then it descends 2 feet per second for 8 seconds. Brenda says that the new position of the fish in relation to sea level is represented by the equation below. 2 times 8 + (negative 320) = 336 Which explains whether Brenda is correct? Brenda is correct because her answer represents 336 feet below sea level. Brenda is correct because Negative 16 + (negative 320) = 336. Brenda is not correct because the new position is 2 times 8 + (negative 320) = Negative 304. Brenda is not correct because the equation should be Negative 2 times 8 + (negative 320) = negative 336. ILL GIVE BRAINLIEST

Answers

Answer:

The answer is D or "Brenda is not correct because the equation should be Negative 2 times 8 + (negative 320) = negative 336"

Step-by-step explanation:

I took the quiz!

Answer:

D

Step-by-step explanation:

Solve the equation below:
2+2 = x

Answers

2+2= 4 soooooo x=4 and yh hope that that helped
2+2=x
4=x
X=4 is the answer

(3) A boy has 10 pens in a pack. He gives 2 pens to his friend. What fraction of the pack is left? *

Answers

Answer: [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

10 pens - 2 pens = 8 pens

Write 8 of 10 as a fraction.

You get [tex]\frac{8}{10}[/tex], right?

Now, simplify 8/10.

You get 4/5.

a gym charges a sign-up fee of $40 and then a monthly rate of $20 per month. How long before you spend $300 on this gym membership? which equation would help you solve (let x be the # of months)​

Answers

Answer:

Where cgym is the cost after m months. To find when the cost is equal, equate the right side of both equations and solve for m :.

Answer:

13 months because 13 x 20 is 260 plus the sign-up fee is 300$ all together

Step-by-step explanation:

Rewrite the expression 3 √x^8 using rational exponents

Answers

Answer:

x^[tex]\frac{8}{3}[/tex]

Step-by-step explanation:

When transforming radical expressions to rational exponents, the radicand (8) becomes the numerator of the rational exponent. And the index, or root (3) of the radical becomes the denominator of the rational exponent.

hope that helps!

please answer ASAP with WORK worth all my points6(3x–4) –4x

Answers

Answer:

I hope this helps

Step-by-step explanation:

use the distribution process first and then combine like terms

You are making a poster to support your friend for homecoming. Your original photo is 4 inches by 6 inches. You want the photo on the poster to be 5 feet by 7.5 feet. What is the scale factor of this dilation? PLEASE HELP!!!!

Answers

The answer is 9.

We have been given that dimensions of original photo are 4 inches by 6 inches. We want the photo on the poster to be of dimensions 3 feet by 4 1/2 feet.            

First of all we will convert dimensions of poster from feet to inches.

Now, let us compare sides of our original photo with corresponding sides of poster.

Now, let us compare the second pair of corresponding sides.

We have seen that sides of poster are 9 times the sides of our original photo, therefore, the scale factor of this dilation is 9.      

What is f(5)?I need help ASAP PLEASEEEEE

Answers

5f I believe would be correct

What is the equation of the line in slope-intercept form?

Answers

Answer:

y = mx + b

Step-by-step explanation:

Good night girl ill see you tommorow what does he do next
A fall
B go to bed
C commit arson
or D nothing

Answers

Answer:

A. Fall

alright girl hahaha!!

what is the value of x in the isosceles trapezoid below

Answers

I think you forgot to add a photo

Write a recursive rule for the arithmetic sequence: -26, 174, 374,574

Answers

The answer is 774, they numbers are going up by 200

Answer:ummm distributed property

Step-by-step explanation:

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Use the domain {-1, 0, 1, 2, 3} and plot the points on the graph that would best satisfy the equation. The bold grid marks represent one unit, the horizontal red line represents the x-axis while the vertical red line represents the y-axis.

y = 2x

Answers

Answer:

Plot the following points on the graph

[tex](-1, \frac{1}{2})[/tex], (0, 1), (1, 2), (2, 4), (3, 8)

Step-by-step explanation:

If the equation for the line is y = [tex]2^{x}[/tex], whatever the power/exponent  "x" equals, then y is equal to however many times 2 is multiplied by x.

For example, if our domain is {-1, 0, 1 , 2, 3}

then we would plug in each x value into the exponent to find the y-value in order to plot the points to solve the problem.

If x = -1, then y = 1/2. **If there is an a negative exponent it would get turned into a positive fraction with the denominator as the positive version of that number.

[tex]y = 2^{-1} = \frac{1}{2^{1} } = \frac{1}{2}[/tex]

If x = 0, then y = 1

**When the exponent is 0, the number automatically equals 1.

If x = 1, then y = 2.

If x = 2, then y = 4

If x = 3, then y = 8

So you would plot the following coordinates on the graph:

[tex](-1, \frac{1}{2})[/tex]

(0, 1)

(1, 2)

(2, 4)

(3, 8)

Trevor deposits 1500 in a simple intersect account that pays 4.3% interest annually. After 15 years how much total money would be in the account

Answers

Answer:

Do 1500 ÷ 4.3 and take what you got and multiply by 15 tell me what you got

What net force would be required to accelerate a truck at 10 m/s^2 that has a mass of 150 kg.

Answers

fnet=mass * acceleration

=150kg* 10= 1500N

Help me with this again please

Answers

The one on the bottom left.

Andre is writing a paper for science class. He can type 30 words per minute. What is the ratio of words to minutes? Write the ratio three ways. Enter the correct answers in the boxes.​

Answers

Answer:

30:1 (30 words to 1 minute)

1:2 (1 word to 2 secs)

30:60 (30 words to 60 seconds)

Step-by-step explanation:

Can i get brainliest?

what does smh stand for

my teacher wants to know and i dont even know

Answers

Answer:

"shaking my head"

Step-by-step explanation:

It's an acronym used to express disgrace or annoyance by communicating the feeling of physically shaking your head at something.

HTH :)

Identify the domain of the function.
Replace the "?" with the correct value to identify the
range of the function.
St.
10
-10

Answers

Answer:

Domain: All real numbers

Range: y is greater than or equal to -5

Step-by-step explanation:

The domain is every possible x value. Because the function keeps going, it will be all real numbers.

The range is every possible y value. Because the function never goes below -5, y has to be greater than or equal to that.

Hope that helps! :D

the pants cost $45.Gina had a coupon for 15% off. How much money did she save

Answers

6.75 dollars
Step by step

Explain why the product of 50 and 80 has three zeros when 50 and 80 each have one zero

Answers

Answer:

Because 50X80=4,000because 5*8=40because 50*80=4,000if 80x50=400 add 08X5=40 so add the 2

Step-by-step explanation:

your welcome

Asking for help with this question again...(look at the picture)

Answers

Answer: The first, second, and fourth is functions because every input has exactly one output.

The third and last ones is not functions.

Answer:

The first, third, and second are functions and the fourth and fifth are not a function

Step-by-step explanation:

Function meaning all the numbers in the y column are different so for an example 123 but if the numbers were 212 there are multiply of one number so that would not be a function

Hope this helps you point plz mark me as brainliest

What is the answer to this question

Answers

Answer:

Step-by-step explanation:

Tienes que multiplicar 10 ×7

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