x²+x-56=0 quadratic equations

Answers

Answer 1

Step-by-step explanation:

To solve the equation, factor x

2

+x−56 using formula x

2

+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=1

ab=−56

Since ab is negative, a and b have the opposite signs. Since a+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product −56.

−1,56

−2,28

−4,14

−7,8

Calculate the sum for each pair

−1+56=55

−2+28=26

−4+14=10

−7+8=1

The solution is the pair that gives sum 1.

a=−7

b=8

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x−7)(x+8)

To find equation solutions, solve x−7=0 and x+8=0.

x=7

x=−8


Related Questions

3/7x - 2/14 = 3 solve using algebraic method

Answers

Step-by-step explanation:

3/7x - 2/14 = 3

6x-2/14=3

6x-2=42

6x=44

x=22/3

If x° and 54° form a linear pair find x°​

Answers

Answer:

x = 126°

Step-by-step explanation:

x + 54 = 180°

x + 54 - 54 = 180 - 54

x = 126°

Answer:

x= 126°

Step-by-step explanation:

180-54

126°

Yeah again Ik I’m annoying

Answers

Answer:

(-1/2)

Step-by-step explanation:

Answer:

m= -1/2

Step-by-step explanation:

I gotchu homie but the answer has to be 20 characters long

Graham sold 6 magazines less than double what Adrianne sold which of the following Expressions represents Graham's sales 6A minus 2 2.2 C's a - 6/8 squared - 628 - 6 which of the following is the correct answer ​

Answers

Answer: 33

Step-by-step explanation:

SA = 2(lw + hw + hl), for w


HELP PLEASE

Answers

[tex]w= \frac{sa}{2 (l+h)}[/tex]

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP

Answers

Answer:

LN and RQ

Step-by-step explanation:

PQR is just an enlargened version of MLN

RQ is just LN but longer

Answer:

-10 vertical and -1 horizontal

Find f( -1 ) with the graph

Answers

we can find the point ( - 1 ; -2) on the curve

so f(-1) = - 2

The two cylinders in the picture above are similar. Find the radius of the smaller cylinder.
A) 2.4 cm
B) 6 cm
C) 0.9 cm
D) 0.6 cm​

Answers

Answer:

The answer is D, 0.6 cm. I just took the quiz.

Step-by-step explanation:

Jason can travel 24 miles in 30 minutes. How many miles can he travel in 120 minutes?

Answers

Answer:

96

Step-by-step explanation:

120/30=4

4x30=120

4x24=96

96 is your answer

If x=-3 and y=-4
a. Find (x+y), (x-y)
b.Find x²-y²​

Answers

Answer:

a. (x+y)=-7

a.(x-y)= 1

b. 9-16= -7

Have u seen this question before how should I solve it?​

Answers

Answer:

$6.75

Step-by-step explanation:

We already know that 1 pound is 4.50 so we need to find the 0.5 pounds of beef left

Since half of 4.50 is 2.25 we add that to 4.50

4.50 + 2.25 = 6.75

the answer would be $6.75! you have 1 and a half pounds of beef. so you would have $4.50+half of $4.50. when you divide $4.50 you get $2.25. when you add $4.50+$2.25 you get $6.75!

i hope this helps!:)

A group of friends receives a dinner bill of $287.50 at a restaurant. The bill includes a 15% tip for the server.
Part A
How much was the bill before the tip was added?
Enter the correct answer in the box.

Answers

Answer:

100%= ?

287.50= 115%

1%= 287.50/115

1%= 2.5

100%= 250

therefore answer is $250

The amount on the dinner bill excluding the tip for the server would be $244.375.

What is percentage?

In mathematics, a percentage is a number or ratio expressed as a fraction of 100.

Given is a group of friends who receives a dinner bill of $287.50 at a restaurant. The bill includes a 15% tip for the server.

The initial amount in the bill recieved = $287.5

Percentage tip for server = 15%

Amount recieved by the server = 15% of 287.5 = $43.12

Therefore, the amount before the tip = 287.5 - 43.12 = 244.375

Therefore, the amount on the dinner bill excluding the tip for the server would be $244.375.

To solve more questions on percentage, visit the link below-

bhttps://brainly.com/question/1574987

#SPJ2

Answer number 4 please

Answers

C

the lengths of any two sides of a triangle must add up to more than the length of the third side

8th grade math giving brainlist

Answers

Answer:

Step-by-step explanation:

The slope is 3/5

USING RISE/RUN

RISE 3 , RUN 5

UP 3, RIGHT 5

The Y-INTERCEPT = +2

This means the line intersects the graph at 2.

"The sum of a number and one-half of the number is 45. Find the
number." if anyone could tell me the answer and how to get it, id appreciate it!!!

Answers

Answer:

the number is 30

Step-by-step explanation:

the formula i used goes like this

x+2x=45

3x=45

x=15

2x=30

So x is equal to the half number, therefore 2 times x is the whole number. Then you just do algebra to figure it out from there! hope this helps.

hello people ~
what's the area of a rectangle whose width is 19 cm & height is 89cm?​

Answers

(use the word length instead of height im confused)

A(rectangle) = width x length = 19 x 89 = 1691 cm2 :O

Answer:

1691cm

Step-by-step explanation:

Area = width x length

So, 89 x 19 = 1691cm

I p and q vary inversely and p is 8 when q is 6, determine q when p is equal to 12.

Answers

Answer:

Step-by-step explanation:

Find the 10th term of the geometric sequence whose common ratio is
1
and whose first term is 6.

Answers

Answer:

6

Step-by-step explanation:

Use the formula

ar^n-1

where a=6 and r=1

Irma is just learning to play the Happy Fairies video game. In the game, players gain and lose points based on how well they take care of the fairies in their fairy gardens. Irma had a total of – 5 points. Then, her fairy house fell over in the wind and she got – 3 points.

Answers

Answer:

-8

Step-by-step explanation:

-5+-3= -8

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The expression: -5 + -3 = -8

The total points are -8 points.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Irma is just learning to play the Happy Fairies video game.

In the game, players gain and lose points based on how well they take care of the fairies in their fairy gardens.

Irma had a total of - 5 points.

Her fairy house fell over in the wind and she got - 3 points.

Now,

The total point:

= -5 + -3

= -5 - 3

= -8 points

Thus,

The total points are -8 points.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

The L.C.M of 2and 4 is what?​

Answers

It is 4



Hope it helps you

Hello.

First, let's clarify what the LCM stands for.

L stands for Least

C stands for Common

M stands for Multiple

So we need to find the Least Common Multiple of 2 and 4.

Let's list the first 5 multiples of 2:

2, 4, 6, 8, 10

Now, the first 5 multiples of 4:

4, 8, 12, 16, 20

As we can see, 4 is the LCM.

I hope it helps.

Have an outstanding day. :)

[tex]\boxed{imperturbability}[/tex]

Answer this. And youll get moneyyy

Answers

(0,-1)
where’s my moneyyyy

zero minus one (:

luv foodzonbrainly

Help ASAP!! Do not solve the equation just state it please! If you translate both of these I will give you brainliest!!

1. Write the equation, eight more than the quotient of a number y and negative three is negative 24.

2. Write the equation, seven less than the product of a number and nine is twenty.

Answers

Answer:

1. 8y/-3 = -24

2. 9x - 7 = 20

Evaluate: |-18|+|-15|+|-8|

Answers

Answer:

18+15+8= 41

Step-by-step explanation:

some words to ask

Add them all together ans youll get the answer

if a=17 and b=12 what is the value
of a-b​

Answers

a-b= ?

17-12= 5

? = 5

Please mark as brainliest

Answer:

5

Step-by-step explanation:

Solving

Step 1: Plug in the variables.

[tex](17)-(12)[/tex]

Step 2: Subtract 12 from 17.

[tex]17-12[/tex] [tex]5[/tex]

Therefore, the answer is 5.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

what's 5y^-1+7x^2+8y^2 ? help plz id appreciate it .

Answers

Answer:

The answer is zero

Step-by-step explanation:

Economists study the way society uses its resources. One important resource studied is agriculture. The recent increase in demand for organic produce has created some interesting economic scenarios for both farmers and consumers. Click the article to learn key facts about the economics of organic produce and answer a few questions. Which is a reason that organic farming is more expensive than conventional farming? How many years must a farm be run organically before its produce can be labeled as "organic"? What is a benefit of crop rotation?

Answers

Explanation:

Some reasons why organic farming is more expensive than conventional farming is that:

they require greater labor input,the quantity produced is lower which results in a higher cost per unit.it cost more to meet these higher standards.

Many agriculturalists believe a farm must be run for at least 3 years organically before its products can be labeled as "organic."

The benefits of crop rotation includes:

it reduces soil erosion,improves soil fertility,it reduces the presence of pests and diseases.

Which is a reason that organic farming is more expensive than conventional farming?

organic farmers must pay for a costly certification process

How many years must a farm be run organically before its produce can be labeled as “organic”?

3

What is a benefit of crop rotation?

rotating crops can help build healthy soil.

GOT IT RIGHT ON EDGE

What is the experimental probability of spinning an even number?

Answers

Answer:

The probability of spinning and even number on the spinner is 0.4.

Step-by-step explanation:

mark as brainiest

AN Calculators can be purchased for the upcoming end-of-course exam. The revenue function can be modeled as RAN (3) = (25 10x) (300 - 36x) where x is the price of the calculator. MN Calculators can also be purchased for the upcoming exam. The revenue function can be modeled as RuN (x) = (100 20x) (100 - 12x) where x is the price of the calculator. Determine the price of each calculator where the revenue of AN Calculators and MN Calculators are the same.

Answers

The revenue functions of the calculator companies is the difference between their cost and profit functions

The price of each calculator when the revenues of AN Calculators and MN Calculators are the same is $2.5

How to determine when the prices are the same

The revenue functions are given as:

RAN (x) = (25 + 10x) (300 - 36x)

RMN (x) = (100+ 20x) (100 - 12x)

When the prices are the same, we have:

RAN (x) = RMN (x)

So, we have:

[tex](25 + 10x) (300 - 36x) = (100+ 20x) (100 - 12x)[/tex]

Divide through by 20

[tex](5 + 2x) (75 - 9x) = (10+ 2x) (50 - 6x)[/tex]

Using a graphing calculator, we have the following value of x

x = 2.5

Hence, the price of each calculator when the revenues of AN Calculators and MN Calculators are the same is $2.5

Read more about revenue functions at:

https://brainly.com/question/19104371

Which fraction is equivalent to 5/20?

Plz hurry! I will give 20pts but don’t guess

Answers

Answer:

the first answer choice 4/16.

i really need help ​

Answers

Answer:

C) Lines r and s and lines t and u must be parallel

Step-by-step explanation:

not quite sure how to explain this, but hopefully this still helps!

The awnser is B the 2nd one down the row! Your welcome wonderful day!
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