What number must be added to the expression below to complete the square x^2+16x=3

Answers

Answer 1

Answer:

Step-by-step explanation:

You need to move the 3 over to the left to make standard form.

x^2+16x-3=0  answer by completing the square

x= ± √67  -8

Answer 2

Step-by-step explanation:x

2 + 16 x = 3

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of  b .

( b 2 ) 2 = ( 8 ) 2

Add the term to each side of the equation.

x 2 + 16 x + ( 8 ) 2 = 3 + ( 8 ) 2

Simplify the equation.

Raise  

8

to the power of  2 .

x 2 + 16 x + 64 = 3 + ( 8 ) 2

Simplify  3 + ( 8 ) 2 .

Tap for more steps...

x 2 + 16 x + 64 = 67

Factor the perfect trinomial square into  ( x + 8 ) 2 .

( x+ 8 ) 2 = 67

Solve the equation for  x .

Tap for fewer steps...

Take the square root of each side of the equation to set up the solution for  x .

( x + 8 ) 2 ⋅ 1 2 = ± √ 67

Remove the perfect root factor  

x + 8

under the radical to solve for  x .

x + 8 = ± √ 67

Remove parentheses.

x + 8 = ± √ 67

Subtract  

8

from both sides of the equation.

x = ± √ 67 − 8

The result can be shown in multiple forms.

Exact Form:

x = ± √67 − 8 x 2 + 16 x = 3

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of  b .

( b 2 ) 2 = ( 8 ) 2

Add the term to each side of the equation.

x 2 + 16 x + ( 8 ) 2 = 3 + ( 8 ) 2

Simplify the equation.

Raise  

8

to the power of  2 .

x 2 + 16 x+ 64 = 3 + ( 8 ) 2

Simplify  3 + ( 8 ) 2 .

Tap for more steps...

x 2 + 16 x + 64 = 67

Factor the perfect trinomial square into  ( x + 8 ) 2 .

( x + 8 ) 2 = 67

Solve the equation for  x .

Take the square root of each side of the equation to set up the solution for  x .

( x + 8 ) 2 ⋅ 1 2 = ± √ 67

Remove the perfect root factor  

x + 8

under the radical to solve for  x .

x + 8 = ± √ 67

Remove parentheses.

x + 8 = ± √ 67

Subtract  

8

from both sides of the equation.

x = ± √ 67 − 8

The result can be shown in multiple forms.

Exact Form:

x = ± √ 67 − 8

Decimal Form:

x = 0.18535277 … , − 16.18535277 …

x 2 + 16 x = 3

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of  b .

( b 2 ) 2 = ( 8 ) 2

Add the term to each side of the equation.

x 2 + 16 x + ( 8 ) 2 = 3 + ( 8 ) 2

Simplify the equation.

Raise  

8

to the power of  2 .

x 2 + 16 x + 64 = 3 + ( 8 ) 2

Simplify  3 + ( 8 ) 2 .

Raise  

8

to the power of  2 .

x 2 + 16 x + 64 = 3 + 64

Add  

3

and  64 .

x 2 + 16 x + 64 = 67

Factor the perfect trinomial square into  ( x + 8 ) 2 .

( x + 8 ) 2 = 67

Solve the equation for  x .

Take the square root of each side of the equation to set up the solution for  x .

( x + 8 ) 2 ⋅ 1 2 = ± √ 67

Remove the perfect root factor  

x + 8

under the radical to solve for  x .

x + 8 = ± √ 67

Remove parentheses.

x + 8 = ± √ 67

Subtract  

8

from both sides of the equation.

x = ± √ 67 − 8

The result can be shown in multiple forms.

Exact Form:

x = ± √ 67 − 8

Decimal Form:

x = 0.18535277 … , − 16.18535277 …

Decimal Form:

x = 0.18535277 … , − 16.18535277 …


Related Questions

Given h(x) = 4x2 + 3x – 8, what is the value of h(–9) ?

Answers

Answer:

289

Step-by-step explanation:

h(x)= h(-9)

4(-9)^2+3(-9)-8

The cross-country coach later determines that the length of the football field is 120 yards. All students must run five laps. Using your answer from Part A, determine the actual number of yards that each athlete must run in the tryouts. In order to make the team, students must complete the laps in 6 minutes. How quickly must they run each lap? The width of the football field is 70 yards.

Answers

Answer:

25.2

Step-by-step explanation:

The graph of the absolute value parent function is vertically stretched by a factor of three, then shifted two units left and five units down.

Answers

Answer: g(x) = 3*Ix + 2I - 5

Step-by-step explanation:

First, let's define the transformations in a general way.

A vertical stretch of a scale factor A, is written as:

g(x) = A*f(x)

A vertical shift of A units is written as:

g(x) = f(x) + A

if A is positive, the shift is up, if A is negative, the shift is down.

A horizontal shift of A units is written as:

g(x) = f(x - A)

If A is positive, the shift is to the right.

If A is negative, the shift is to the left.

Then we start with the absoulte value parent function f(x) = IxI

"The graph of the absolute value parent function is vertically stretched by a factor of three"

We start with:

g(x) = 3*f(x)

"then shifted two units left"

g(x) = 3*f(x - (-2))

"and five units down."

g(x) = 3*f(x + 2) - 5.

and knowing that f(x) = IxI, we have:

g(x) = 3*Ix + 2I - 5

what is the slope of this? HELP PLS

Answers

1/3 that’s the answer because the two is 3 squares away

Find the unit rate. Round to the nearest hundredth, if necessary.
$3.99 for 19 lb
The unit rate is $

Answers

Answer:

0.21

Step-by-step explanation:

The answer to the question is 0.21

just answer the question dont play with me rn​

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

pretty help please :)

Answers

Answer:

3

Step-by-step explanation:

we want to get (n) alone

3n+17=26

subtract 17 from each side

3n=9

divide each side by 3

n=3

3

Answer:

A

Step-by-step explanation:

3n+17=26 Inverse operation of addition is subtraction so subtract 17 from both sides of the equation

3n-17+17=26-17

3n=19 Inverse operation of multiplication is division, so divide 3 from both sides of the equation so you can get n alone

3n/3=9/3

n=3

Inverse operation means the opposite operation

ANY MATH EXPERTS PLS HELP RN I GOT 30 MIN LEFT I'll MARK BRAINLIEST TO WHO ANSWER'S FIRST

Answers

Answer:

y = -3x + 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (1, 4)

y-intercept (0, 7)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{7-4}{0-1}[/tex]Subtract:                       [tex]m=\frac{3}{-1}[/tex]Divide:                          [tex]m=-3[/tex]

Step 3: Write linear function

y = -3x + 7

please help me!!! I NEED HELP!!!! IM SO CONFUSED

Answers

the exponent on the P will be 5

Pretty sure is 5 bud.

Late for the party but happy to help!!

PLEASE WILL GIVE BRAINLIEST!!

Answers

Answer:

10.5

Step-by-step explanation:

because 10.5x2=21. and 45+13+21=79, 100-79= 21.

When exercising Alison Berns 120 cal every 15 minutes how many calories does Allison burn during 75 minutes

Answers

120x75=9000

Hope this helps

Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100. there is nothing to do

Answers

Answer:

Step-by-step explanation: There are no solutions whenever k=4,5mod9.

This holds since it is not difficult to verify that for every integer n, we have n3=0,±1mod9.

Up till this year, there were just two values for k in the range 1..100 for which it was not known if there were a solution. These values are k=33,42.

Both values are now known to have solutions. See 42 is the answer to the question “

Laura paid 9.35 for 3.4 pounds of ground beef. How much does one pound of ground beef cost?

Answers

Answer:

One pound of ground beef costs $2.75.

Step-by-step explanation:

To solve this you want to divide both numbers by 3.4 this is because you want to find out much the ground beef costs per 1 pound and 3.4 / 3.4 = 1. Additionally, what you do to one side you must do to the other!

3.4 / 3.4 = 1

9.35 / 3.4 = 2.75

One pound of ground beef costs $2.75.


The Lopez Family meets with a financial planner who advises them to save 15% of their income
per month for college savings for their children. They earn $8,540 per month. How much will
the Lopez family save each month for future college expenses?

Answers

Answer:

$1281

Step-by-step explanation:

[tex]8540 \times \frac{15}{100} \\ 1281 [/tex]

A skirt originally cost $10. How much will it cost if you sell it in Amazon with 25% mark-up price

Answers

Answer:

$20.40

Step-by-step explanation:

20% off means that the new price of the skirt will be 80% of the original price:

$30(100%  – 20%) = $30(80%)

Converting the percent to a decimal gives:

$30(0.8) = $24.00

There is an additional 15% off the sale price of $24.00, so the final price is 85% of the sale price:

$24(100%  – 15%) = $24(85%)

Again converting the percent to a decimal gives:

$24(0.85) = $20.40

Okay I pick the answer parallels, was I correct?

Answers

Answer:

yes you were

Step-by-step explanation:

Answer:

Nope the answer should be perpendicular!

Step-by-step explanation:

Hope this helps!! Please consider marking brainliest! Have a good one!!

Give the digits in the tens place and the hundredths place. "91.48"

Answers

Answer:

Step-by-step explanation

The digit in the tenths place is 4 and the digit in the hundreds place is 1

Answer:48 Hundredths i think

Step-by-step explanation:

I need help with graphing this.​

Answers

Here, I graphed it for you:

You are choosing between two texting plans. One plan has a monthly fee of $15 with a charge of $0.05 per text. The other plan has a monthly fee of $5 with $0.07 per text. For how many text messages will the costs for the two plans be the same?

Answers

Answer: 500 messages will the costs for the two plans be the same.

Step-by-step explanation:

Let x= Number of text messages .

Given: One plan has a monthly fee of $15 with a charge of $0.05 per text.

i.e. Total cost of plan = 15+0.05x

The other plan has a monthly fee of $5 with $0.07 per text.

i.e. Total cost of plan = 5+0.07x

As per given ,

[tex]5+0.07x=15+0.05x\\\\\Rightarrow\ 0.07x-0.05x=15-5\\\\\Rightarrow\ 0.02x=10\\\\\Rightarrow\ x=\dfrac{10}{0.02}\\\\\Rightarrow\ x= \dfrac{1000}{2}\\\\\Rightarrow\ x=500[/tex]

Hence, 500 messages will the costs for the two plans be the same.

How is pH and hydronium concentration related?


Please help I am so confused

Answers

The overall concentration of hydrogen ions is inversely related to its pH and can be measured on the pH scale Therefore, the more hydrogen ions present, the lower the pH; conversely, the fewer hydrogen ions, the higher the pH.

If the hydronium concentration increases, the pH decreases, causing the solution to

become more acidic. This happens when an acid is introduced. As H+ ions dissociate from the acid and bond with water, they form hydronium ions, thus increasing the hydronium concentration of the solution

What is the slip of the line shown below ?

A - 11/4
B- 4/11
C- -4/11
D- 11/4

Answers

the picture is blurry

Please help ASAP Thank you

Answers

Answer:

3.0 x 10^1

Step-by-step explanation:

Step 1) 4,500,000,000 / 149,600,000 = about 30

Step 2) 3.0 x 10^1 = 30

HURRY!!!! PLS NEED AWMSER IN CLASS I CAN PICK THEM DOWN BELOW

Answers

Answer:

9. 7/2

10. -6

Step-by-step explanation:

22, 36 27, 54 32, 72 x inercept

Answers

12 is the x jntercept

The equation of the graphed line is 2x - y = -6.
What is the x-intercept of the graph?
-3
-2 2
6

Answers

Answer: 6

Step-by-step explanation: Since the line crosses the y-axis at 6, the y-intercept is 6.

What is the value of the digit 6? Correct answer will be marked brainliest.

Answers

Answer:

the value is ones.

Step-by-step explanation:

6=hundred 5= tens and the 6 u are talking about is = ones

simplify 2(x + 5) − 3(x − 2)

Answers

Answer:

-x + 16

Step-by-step explanation:

We need to use the distributive property to solve this!

We can isolate this into 2 parts that we will need to combine later on, but isolating them will make it less confusing to simplify:

2(x+5) is one part, and the second is -3(x-2)

The first part simplifies to 2x + 10, and the second simplifies to -3x + 6. Now we need to combine the 2 values.

2x + 10 - 3x + 6

Combine like terms

-x + 16 is your answer!

Answer:

Step-by-step explanation:

2x+10 - 3x -5 and for the fun of it the answer will be..

you will subtract 10 and 5 and that gives you 5

then you do -3+2 = -1x

5 divided by -1 gives you

X= -5

Nick can type 30 words a minute.
How many words can be typed in 9.5 minutes?

Answers

Answer:

285 words

Step-by-step explanation:

Nick can type 285 words per minute because. 30•9.5 is 285 getting easy on us :D

What is the y intercept for the equation:
y = -8x^2 + 3x - 7

Answers

Answer:

The y intercept for the equation is (0,-7)

solve for x transversal

Answers

where’s the problem ?
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