how to solve x^2+x-90=0 in completing the square method​

Answers

Answer 1

Rearrange the equation by writing

x² + x - 90 = 0

x² + x = 90

x² + x + 1/4 = 90 + 1/4

Recall that (a + b)² = a² + 2ab + b². Then

x² + 2 • x/2 + (1/2)² = 361/4

(x + 1/2)² = 361/4

x + 1/2 = ± √(361/4)

x = -1/2 ± 19/2

x = 9   or   x = -10


Related Questions

9. Determine whether the parallelogram is a rectangle, square, or rhombus. G(-4,3), D(2,1) F(-5, 0) and E(1, -2)​

Answers

Answer:

rectangle

Step-by-step explanation:

Answer:

Rectangle

Step-by-step explanation:

FG's slope is the opposite reciprocal of GD's, so they are perpendicular. The same with the other sides.

The opposite sides have the same length.

Which of the following represents the zeros of f(x) = 6x3 − 31x2 + 4x + 5? (1 point)

Answers

Answer: 5, -1/3 and 1/2

Did this question before and I have many study guide websites

A restaurant customer left ​$2.60 as a tip. The tax 6% was and the tip was ​20% of the cost including tax.
a. Which information is not needed to compute the bill after tax and​ tip?
b. What was the total​ bill?

Answers

Based on the tip left and its proportion of the total bill, the following answers are true:

a. The tax rate is not needed to compute the after tax and tip bill b. The total bill is $13.00

A tip of $2.60 was left and this is said to be 20% of the bill including the tax.

The total bill is therefore:

Tip = Total bill x 20%

2.60 = Total bill x 20%

Total bill = 2.60 / 20%

= $13.00

We can see that the tax rate was not needed to compute the total bill.

In conclusion, the tax rate was irrelevant and the total bill was $13.00.

Find out more about taxes and tips in bills at https://brainly.com/question/24976122.

Triangle ABC is translated 2 units right and 5 units down to form triangle A’B’C’. This triangle is then translated 5 units right and 4 units up to form triangle A”B”C”. If the vertex A is at (-4, 2), what are the coordinates of vertex A”?

Answers

Answer:

(3,1)

Step-by-step explanation:

(x,y) (-4,2)

so -4 +2 = - 2 ; -2 +5 = 3

and for y: 2 - 5 = - 3 ; - 3 + 4 = 1

(3,1)

please help NEED NOW

thank youuu

Answers

A.

y= -2x + 4 is the answer

Answer: Answer A

Step-by-step explanation:

Since the y-intercept is 4 and the graph is rising to the left meaning there is a negative slope, the answer is A

Ralph has 9 cards, each with a number on it. What is the probability that the number chosen is a multiple of 4 ?

Answers

Answer:

2/9.

Step-by-step explanation:

There are 2 multiples of 4 in the 9 cards, 4 itself and 8.

So the required Probability is 2/9.

46 degrees and x

X =

Answers

Answer:

136° that's 90 plus 46.........

Answer:

x = 136°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle , then

x = 90° + 46° = 136°

Solve for m.


m+13<−214



m>−11112


m>−2712


m<−11112


m<−2712

Answers

Answer:

You cannot expect someone to type the "right" answer if you dont put the time to even spell it out correctly next time think abt it a bit more ^^

The correct answer is m<- 2  7/12

Step-by-step explanation:

This is for the k12 6.01 Quiz: One-Step Addition or Subtraction Inequalities

Good luck everyone of the rest !!!!

The solution for [m] belongs tot he set as : m ∈ (- ∞, -227).

What is inequality? What is a mathematical function, equation and expression?                inequality : An inequality is used to compare two expressions or numbers.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given are the inequalities and it is asked to solve for [m].

The given inequalities are given as follows -

m + 13 < − 214

m > − 11112

m > − 2712

m < − 11112

m < − 2712

Now, we can write -

m + 13 < − 214

m < - 214 - 13

m < - 227

Remaining all inequalities are far far smaller than -227. So, we can say that the solution for m as : m ∈ (- ∞, -227)

Therefore, the solution for [m] belongs tot he set as : m ∈ (- ∞, -227).

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ5

ASAP HELP PLEASE SHOW ALL WORK
*Find the value of x. Show all the work

Answers

The line of length 48 is passing through the midpoint of traingle so it's half of base

[tex]\\ \sf\longmapsto \dfrac{3x}{2}=48[/tex]

[tex]\\ \sf\longmapsto 3x=96[/tex]

[tex]\\ \sf\longmapsto x=32[/tex]

Can anyone help me convert these??

What is 76ml of milk in cups, tablespoons, or teaspoons?

What is 38g of Egg yolk in cups, tablespoons, or teaspoons?

What is 78g of Egg white in cups, tablespoons, or teaspoons?

I'm trying to make something that is Japanese but they don't use cups, tablespoons, or teaspoons. My math keeps going wrong and my PC wont convert them for me

Answers

Answer:

0.321233-cups, 0.321233-tablespoon, 0.321233-teaspoon

Step-by-step explanation:

the next 2 questions I can't convert because I don't have grams

Answer:

76ml= 0.321233 cups

76ml = 5.13973 tablespoons

76ml = 15.4192 teaspoons

38g = 0.139 cups

38g = 2.224 tablespoons

38g = 6.672 teaspoons

78g = 0.349 cups

78g = 5.584 tablespoons

78g = 16.752 teaspoons

Step-by-step explanation:

I think thats right

please help i need this rn!! ( please tell me how much boxes I color)

Answers

There is nothing that I see that I can tall you the answer

help with this pleased

Answers

Answer:

Kite A ascends to a height of 36 feet

Step-by-step explanation:

21 + 15 = 36

Answer:

Kite A is now at 36 feet.

Step-by-step explanation:

Ascend means go up, so adding 15 to 21 gives you your answer.

What is the value of cos (150°)?
PLEASE NO WEBSITES!
Thank you

Answers

Answer:

Cos (150) = -√3/2

Step-by-step explanation:

You can find this using a calculator. You will get −0.866025403 which is equal to -√3/2

i need points so sorry

What is the completely factored form of f(x)=x^3+5x^2+4x-6

Answers

Answer:

(x+3)(x^2+2x-2)

Step-by-step explanation:

rewrote the expression

then factor out common numbers, variables, and exponents

Can someone help me with this question?

Answers

Answer:

radius, center, chord, diameter

Step-by-step explanation:

a. radius

b. center

c. chord

d. diameter

Radius,center,chord,diameter

The winner of the local triathlon swam 0.5 miles, biked 15 miles and ran 2.5 miles. He finished the race in 54 minutes. For the entire triathlon, what was his average speed in miles per hour?

Answers

Answer:

15 or 15.546

Step-by-step explanation:

you add all the numbers then divide by 54

Based on the information given, the speed is 20 miles per hour.

From the information given, the winner of the local triathlon swam 0.5 miles, biked 15 miles and ran 2.5 miles and he finished the race in 54 minutes.

Note that 54 minutes = 0.9 hour.

The speed will be:

= (0.5 + 15 + 2.5) / 0.9

= 18/0.9

= 20 miles per hour.

Learn more about speed on:

https://brainly.com/question/4931057

Ali is x years old Ali’s aunt is four times as old as Ali will be in 5 years Find the present age of Ali’s aunt

Answers

Answer:

Ali= x + 5

Aunt= 4x

76 is 0.4% of what number? Use pencil and paper. Would you expect the answer to be a lot less than 76. Slightly less than 76, slight greater than 76, or a lot greater than 76? Explain.

Answers

Answer:

Step-by-step explanation:

It's a lot greater. If you take 0.4% of some number and the answer is 76, you better be starting with something that is very large. The formula will make the solution automatic.

Formula

Let the number be x

0.4% x = 76

0.4% = 0.4/100

0.4 / 100 * x = 76            Multiply both sides of the equation by 100

0.4x = 76*100                Combine the right.

0.4x = 7600                  Divide by 0.4

x = 7600/0.4

x = 19000                       Which is quite a bit larger than 76

Answer:

greater than 76

Step-by-step explanation:

hope it will help goodbye

6x² = 7xy + 20y² where x ˃ 0 and y ˃ 0
Find the ratio x : y

Answers

Step by Step Solution
More Icon
STEP
1
:
Equation at the end of step 1

((6 • (x2)) - 7xy) - (22•5y2)
STEP
2
:

Equation at the end of step
2
:

((2•3x2) - 7xy) - (22•5y2)
STEP
3
:
Trying to factor a multi variable polynomial

3.1 Factoring 6x2 - 7xy - 20y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization : (2x - 5y)•(3x + 4y)

Final result :
(2x - 5y) • (3x + 4y)

A rectangular garden has dimensions of 19 feet by 16 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 246 square feet?
OA 5ft
OB. 3 ft
OC. 41
OD. 5.5 ft

Answers

Answer:

A rectangular garden has dimensions of 19 feet by 16 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 246 square feet?

OA 5ft

OB. 3 ft

OC. 41

OD. 5.5 ft

How i can answer this questions

Answers

Answer:

B and C

Step-by-step explanation:

[tex]2(b+3c) =(b+3c)+(b+3c) = 2b +2(3c)[/tex]

MARKING BRAINLIEST PLEASE HELP

Answers

-15x + 210 = 90 (I got 210 because it’s the distance the line is on now)

So -15x = 90 - 210

-15x = -120
Divide both sides by -15 that equals 8 so the your answer is but if it’s the time before the draining began (I will assume at 0) then the answer would be 3 + 8, it will be 11 hours for it to reach 90

Enter the value of :

Answers

Answer:49

Step-by-step explanation: The square root of a number is a number that, when multiplied by itself, equals the desired value. So, for example, the square root of 49 is 7 (7x7=49). The process of multiplying a number times itself is called squaring.

Which is the graph of the ordered pairs from the table below?

X Y
3 5
5 7
7 9
9 11

Answers

Answer:

It is the second

Step-by-step explanation:

Answer: number 2    ᕙ(@°▽°@)ᕗ

Step-by-step explanation:

Question 14 (5 points)
image

Which of the following is a true statement about the rhombus shown?
Question 14 options:

A)



B)

m∠SPQ = 90°

C)

m∠STP = 90°

D)





Question 15 (5 points)
image

Determine the value of x.
Question 15 options:

A)

x = 90°

B)

x = 45°

C)

x = 20°

D)

x = 4.5°

Answers

Answer:

14) C

15) D, because 90:20=4.5

the output is two more than the input

Answers

By definition, the inputs in a function have only one output. The input 1 has two outputs: 0 and 5. The relation is not a function.

Give the number and type of solutions of the equation.

Answers

Answer:

B. 2 non-real solutions

Step-by-step explanation:

Compare the left and right side of the given equation in terms of the lines they represent:

x² is a parabola with non-negative value- 3x - 7 is a line with negative slope and negative y-intercept

Their intersection seems not possible. Lets graph and confirm.

See attached below.

It means there are no real solutions. Correct answer choice is B

can someone help me pleasee

Answers

Answer:

Erich planted 7 seeds ...

he had to remove 17 plants ....

he expected to have less or equal 46 plants ...

Step-by-step explanation:

Look at keywords like remove ~ => which indicates that something is being subtracted

Since x represents seed packets, and the amount he planted is a number multiplied by x, we can deduce he planted 7 seeds ( 7 * x)

HELP PLEASE!!!A 2-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent, Total 100 percent. Column 2 has entries 12 dollars, 12 dollars, 12 dollars, 12 dollars, Total 48 dollars.
Which of the following scenarios could be accurately modeled using this diagram?
Juan Victor gave a gratuity of $25 on a bill that was $48.
Juan Victor gave a 25% gratuity of $12 on a bill that was $48.
Juan Victor gave a gratuity of $12 on a bill that was $100.
Juan Victor gave a 12% gratuity on a bill that was $25.

Answers

B) Juan Victor gave a 25% gratuity of $12 on a bill that was $48.

hope this is helpful!

Tell whether each graph is a function and justify your answer. Which graph is not a good representation of a​ real-world situation? Explain.

Answers

Using the function concept, it is found that:

Graph B is a function because each value of x corresponds to exactly one y-value.

In a function, one value of the input can be related to only one value of the output.

In a graph, it means that for each value of x(horizontal axis), there can be only one respective value of y(vertical axis).

In this problem, at Graph A, when x = 5, for example a vertical line crosses the function 3 times, hence there are 3 respective values of y for x = 5, and the same is valid for other values of x, hence it is not a function.

At Graph B, for each value of x, there is only one value of y, hence it is a function.

Hence:

Graph B is a function because each value of x corresponds to exactly one y-value.

To learn more about the function concept, you can take a look at https://brainly.com/question/12463448

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