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

Gia started to solve the equation 3(x − 10) − 5x = 2x − 26 below. They want to move the variables to the left side of the equation for their next step.



Fill in Line 4 and give the property.


Line 1: 3(x − 10) − 5x = 2x − 26 Original Problem
Line 2: 3x − 30 − 5x = 2x − 26 Distributive Property
Line 3: -2x − 30 = 2x − 26 Collect Like Terms

Line 4:


please helpp

Answers

Answer:

Subtract 2x from each side, Subtraction Property

Step-by-step explanation:

Solve for X please and thank you

Answers

Answer:

x = 48

Step-by-step explanation:

Given a secant and a tangent from an external point to the circle, then

the product of the external part and the entire secant is equal to the square of the measure of the tangent , that is

2(2 + x) = 10² = 100 ( divide both sides by 2 )

2 + x = 50 ( subtract 2 from both sides )

x = 48

Please help me with this!!! I will mark brainlist!!!

Answers

Answer: The value of Angle F = 47

Step-by-step explanation:

you select a marble at random and then put it back. If you do this 8 times, what is the best prediction possible for the number of
times you will pick a red marble?

8 marble in total and 4 are green, 3 blue, and 1 red hope it help the problem :)

Answers

Probably 2/5 chances

which equation generates the value in the table

Answers

Answer:

A

Step-by-step explanation:

In a bar graph space between rectangles is always​

Answers

Answer:

the same

Step-by-step explanation:

Not as histograms where space must equal 0 as calculating area is needed.

15)
Solve for X
X\42=6
A)
7
B)
252
C)
260
D)
332

Answers

Answer:

b)252 is the answer

Step-by-step explanation:

x\42=6

x=6*42

x=252

Write the inequality represented by the graph below

Answers

Answer:

y≥3x-1

Step-by-step explanation:

i did the thing

and y≥the mx+b

m=slope

b=y intercept

the symbol determines which way the shaded part faces

pls mark brainliest

Answer:

the guy up there is correct

Step-by-step explanation:

i tried the answer and it was correct

Choose the correct transformation.

Answers

Answer:

A

Step-by-step explanation:

First they flipped it, then they slid it.

find the volume of this figure:

Answers

i believe it’s 103.32
103.32 is the answer im sure

Solve the following compound inequality. Graph the solutions. x <2 and x> -1 Solve the compound inequality. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. The solutions are enter your response here. ​(Simplify your answer. Type an inequality or a compound​ inequality.) B. The solutions are all real numbers. C. There is no solution.


please help :(

Answers

Answer is b because I took the test no cap

what is the probability​

Answers

5/6 at random, (not including yellow if included yellow the answer would be 1/5)
red = 2/6 which would equal 1/3
not yellow = 5/6

Mrs. Rainer would like to buy 28
composition notebooks for her math class.
If they are on sale for $0.94 each, how
much will she spend, not including tax?

Answers

Answer:

$26.32

Step-by-step explanation:

0.94x28 = 26.32

(Meeting character limit)

NEED HELP LIKE, NOW!! 100 POINTS!!!


You can solve any equation in the form a(x + b) = c without writing out both steps of the two-step solution process.
a. Isolate the variable x, so that it has a coefficient of 1.

b. Use your answer to solve 4(x - 7) = 20.

Answers

Answer:

ax+ab-c=0, 12

Step-by-step explanation:

If x=1, then 4(x-7)=20

4x-28=20

add 28 on both sides

48/4=x

x=12

Answer:

this is my answer

Step-by-step explanation:

4(x-7)=20. divide both sides

x-7=5 move the constant to the right

x=5+7. calculate

so the answer is x=12

I hope it helps

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.

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

33 + 55 = __ (3+5)
Help me with this

Answers

Answer:

11 I think and hi how are u ::):):):):):):):):):):):):):

11 I’m pretty sure I got it right

cos teta divide by 1+cos teta equals to 1-tan teta divide by cos teta​

Answers

Answer:

tan teta =cos teta is the answer

the graph of linear function g is shown on the grid

what is the zero of g

-6
-9
0
-5

Answers

The zero is -6, that’s where it crosses the x axis.

A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of ​$24. Option B is a commission rate of 10​% on weekly sales. How much does she need to sell this week to earn the same amount with the two​ options?

Answers

Answer: the answer is $9,600

Step-by-step explanation:

option A = 40(24)   =  option B = x (.1)       where x is her gross sales

40(24) = x(.1)

40(24)/.1 = x = sales = $9600

Solve for the variable. 1) 8 - X-X=-16



plsss help me explain me slow​

Answers

Question: 8 - X-X= -16
Answers: x = 12
Explain:
Collect the terms
8-2x= -16
Move the constant to the right-hand side and change its sign
-2x= -16-8
Calculate the difference
-2x= -24
Divide both sides of the equation by 2
X= 12

Amelia and her children went into a grocery store and she bought $10
worth of apples and bananas. Each apple costs $1 and each banana
costs $0.50. She bought a total of 12 apples and bananas altogether.
Determine the number of apples, x, and the number of bananas, y,
that Amelia bought.

Answers

8 apples and 4 bananas as 8x =£8.00 and 4y=£2.00 and 8+4=12 and £8+£4=£10

HURRY QUICK!!

Evaluate the following expression when x = -4 and y = 4.

Answers

Answer: Should be A

Step-by-step explanation:

Not 100% sure but I'm pretty sure it's A

Answer:

A

Step-by-step explanation:

You need to insert the values into the equations

1) [tex]\frac{x^{6} -x}{4y}[/tex]

[tex]\frac{(-4)^{6} -(-4)}{4(4)}[/tex]

Then open the brackets

[tex]\frac{4096 -(-4)}{16}[/tex]

Open the brackets again not forgetting that 2 - equal a positive

[tex]\frac{4100}{16}[/tex]

Simplify

[tex]\frac{1025}{4}[/tex]

у
6
What is the sequence of transformations that maps A ABC to
A A'B'C'?
B
5
4
3
Select from the drop-down menus to correctly identify each step
A
2
А
1
C
Step 1: Choose...
-6-5-4-3-2-13
1 2 3
4 5 6 7 8
A
Step 2: Choose...
-2
-3
<
-5
8
-6

Answers

The sequence of transformation is a reflection across the x-axis, followed by horizontal shift to the right by 2 units, and vertical shift up by 6 units

The vertices of triangle ABC are given as:

[tex]A = (1,9)[/tex]

[tex]B = (3,12)[/tex]

[tex]C =(4,4)[/tex]

The vertices of triangle A"B"C" are given as:

[tex]A" = (3,-3)[/tex]

[tex]B" = (5,-6)[/tex]

[tex]C" =(6,2)[/tex]

Start by reflecting the coordinates of triangle ABC across the x-axis.

The rule of this transformation is:

[tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex]A' =(1,-9)[/tex]

[tex]B' =(3,-12)[/tex]

[tex]C' =(4,-4)[/tex]

Next, shift triangle A'B'C' 2 units right and 6 units up

The rule of this transformation is:

[tex](x,y) \to (x+2,y+6)[/tex]

So, we have:

[tex]A" = (3,-3)[/tex]

[tex]B" = (5,-6)[/tex]

[tex]C" =(6,2)[/tex]

Hence, the sequence of transformation is a reflection across the x-axis, followed by horizontal shift to the right by 2 units, and vertical shift up by 6 units

Read more about transformation at:

https://brainly.com/question/1448141

Shania bought a $1,455 drum set on an installment plan. The Installment agreement included a 15% down payment and 18 monthly payments of $80.78 each

a. How much is the down payment

b. What is the total amount of the monthly payments?

c. What is the total cost of the plan?

d. What is the finance charge?

Answers

Cost Price=$1455
Down Payment=15% of $1455

a.Down Payment=(15/100)*1444=$218.25

b.Total amount of the monthly payment=$80.78*18=$1454.04

c.Total cost of the plan=$1454.04+$218.25=$1672.29

d.Finance charge=$1672.29-$1455=$217.29

The down payment will be $218.25, the total amount of the monthly payments is $1454.04.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Shania bought a $1,455 drum set on an installment plan.

The installment agreement included a 15% down payment and 18 monthly payments of $80.78 each

Down Payment = (15/100)x1444

= $218.25

The total amount of the monthly payment = $80.78x18

= $1454.04

Total cost of the plan = $1454.04 + $218.25

= $1672.29

Finance charge = $1672.29 - $1455

= $217.29

Thus, the down payment will be $218.25, the total amount of the monthly payments is $1454.04.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ2

IF YOU KNOW IT ANSWER IT!!!! I ONLY HAVE 4 MINUTES ​

Answers

Answer:

A, the first one.

Step-by-step explanation:

Please rate 5 stars and add thanks. Goodluck on the rest

Answer:Option A is correct.Step-by-step explanation:x/4 - 5 < -6=> x/4 < -6 + 5=> x/4 < -1=> 4 × x/4 < -1 × 4=> x < -4Conclusion:

Therefore, Option A is correct.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

how to find the circumcenter of a triangle with given vertices

Answers

Answer:

What is the formula of area of Circumcircle?

Image result

We know that area of circle = π*r2, where r is the radius of given circle. We also know that radius of Circumcircle of an equilateral triangle = (side of the equilateral triangle)/ √3. Therefore, area = π*r2 = π*a2/3.

Step-by-step explanation:

i really need help... factor by the simplest form 46xy^5

Answers

The simplest form is 46xy
Since 46 can not be factor out, there is only one x which stay there, and is 5 so the two pairs of y will be canceled and one y left.

Pieter owns a currency conversion shop. Last Monday, Pieter changed a total of 20 160 rand into a number of different currencies. He changed 3/10 of the 20 160 rand into euros. He changed the rest of the rands into dollars, rupees and francs in the ratios 9:5:2 Pieter changed more rands into dollars than he changed into francs. Work out how many more.

Answers

Answer:

6,174

Step-by-step explanation:

in total we have 20,160 rand.

3/10 of that is =  6048.

6048 rand is euros.

we now have a remaining 14,112 rand.

the rest of the rands is split up into 9:5:2

to find out how much one part equals we add 9, 5 and 2 together.

9 + 5 + 2 = 16.

We then divide the remaining 14,112 rand by 16 to find out one part.

14,112 / 16 = 882.

1 part = 882.

(dollars) 9 parts = 882 x 9 = 7,938 rand

(rupees) 5 parts = 882 x 5 = 4,410 rand

(francs) 2 parts = 882 x 2 = 1,764 rand

to find out how many more rands pieter changed into dollars than he changed into francs we need to minus 1,764 from 7,938.

7, 938 - 1,764 = 6,174

Pieter changed 6,174 more rands into dollars than francs.

Hope this helped :)

How onto add, subtract, multiply, and divide decimals

Answers

Answer:

Hope this helps. x

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