Solve for x x^2 + 6x + 1 = 0

Answers

Answer 1

Answer:

x = -.1715 ≈ - .172    or x = -5.83

Step-by-step explanation:

x² + 6x + 1 = 0

x² + 6x = -1

Complete the square   Add to both sides (1/2 of the x-term, then square it.)

x² + 6x + 9  = -1 + 9

(x + 3)(x + 3) = 8

(x + 3)² = 8

[tex]\sqrt{(x + 3)^{2}[/tex]  = [tex]\sqrt{8}[/tex]

 x + 3 = ±  [tex]\sqrt{8}[/tex]

  x = -3 ± [tex]\sqrt{8}[/tex]

   x = -3 + [tex]\sqrt{8}[/tex]   or x = -3 - [tex]\sqrt{8}[/tex]

   x = -.1715 ≈ - .172    or x = -5.83


Related Questions

Poppy gives one half of a cake to her big brother and the other half to her three friends who share it equally. What fraction of the cake does each friend get?

Please help!! ​

Answers

Answer:

1/12

Step-by-step explanation:

7.0g divided by 5.6g/cm cubed​

Answers

Answer:

Should be 1.25cm

Step-by-step explanation:

is 10/110 an irrational or rational number

Answers

Hello there!

10/110 is a rational number because it can be expressed in the form p/q (where p is the numerator and q is the denominator)

Therefore, 10/110 is a rational number.

Hope this helps you!

~Just a felicitous girlie

#HaveAGreatDay

[tex]SilentNature :)[/tex]

-0.75___-3/4
which one is greater

Answers

[tex]\huge\text{\bf Hey there!}[/tex]

[tex]\huge\text{GUIDE} \ \boxed{\downarrow}\\\large\boxed{\mathsf{>: is \ \bf greater \ than }}\\\\\large\boxed{\mathsf{<: is \bf \ less\ than}}\\\\\large\boxed{\mathsf{\geq: is \ \bf greater\ than\ or\ equal\ to}}\\\\\large\boxed{\mathsf{\leq: is\ \bf less\ than\ or\ equal\ to}}\\\\\large\boxed{\mathsf{=: is \ \bf equal \ to}}[/tex]

[tex]\huge\text{GUIDE \#2}\ \boxed{\downarrow}\\\large\text{When you are working with greater than, you're basically shows}\\\large\text{when a number is BIGGER than the other number.}\\\\\large\text{When you are working with less than you are finding the opposite}\\\large\text{of greater than. (it shows when a number is SMALLER than the}\\\large\text{number.)}[/tex]

[tex]\\\large\text{When you are working with greater than or equal to, you are }\\\large\text{basically finding out if the number is greater or equal to the other }\\\large\text{number.}\\\\\large\text{When you are working with less than or equal to you are trying to}\\\large\text{figure out if your number is less than or equal to the other}\\\large\text{number.}[/tex]

[tex]\huge\text{ANSWERING YOUR GIVEN QUESTION}\ \boxed{\downarrow}[/tex]

[tex]\large\boxed{\rm{-0.75 \ ? \ -\dfrac{3}{4}}}[/tex]

[tex]\large\text{I'm going to make this easier to solve for you. I will convert the}\\\large\text{fraction }(\rm{-\dfrac{3}{4}})\large\text{ into a decimal. To do so, you have to DIVIDE the}\\\large\text{numerator (the number on TOP) from the denominator (the}\\\large\text{BOTTOM number)}[/tex]

[tex]\large\text{REMEMBER }\textbf{!}\\\large\text{Negatives are BELOW zero. (including decimals \& fractions).}\\\\\large\text{Positives are ABOVE zero}[/tex]

[tex]\large\boxed{{\mathsf{- \dfrac{3}{4}}}}\\\\\\\large\boxed{\mathsf{\rightarrow - 3\div 4}}\\\\\\\large\boxed{\rightarrow\mathsf{-0.75}}[/tex]

[tex]\large\text{Therefore, -0.75 and }\rm{-\dfrac{3}{4}}\large\text{ are equivalent to each other}[/tex]

[tex]\huge\boxed{\text{Therefore, your answer is: }}\ \huge\boxed{\mathsf{-0.75 \bold{\ =} -\dfrac{3}{4}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

The number farthest to the right is the greater number.

Step-by-step explanation:

How many video games were sold in the year 2001

Answers

Answer:

265

Step-by-step explanation:

you only need to do is simplify the expression.

-18 = 3 (-z + 6) + 2z

Answers

Answer:

z = 36

Step-by-step explanation:

1) Distribute

-18 = -3z + 18 + 2z

2) Combine like terms

-18 = -z + 18

3) Subtract 18 from both sides of the equation

-18 - 18 = -z + 18 - 18

4) Simplify

a. Subtract the numbers

-36 = -z + 18 - 18

b. Subtract the numbers

-36 = z

5) Divide both sides of the equation by the same term

-36/ - 1 = -z/-1

6) Simplify

a. Divide the numbers

36 = -z/-1

b. Cancel terms that are in both the numerator and denominator

36 = z

c. Move the variable to the left

z = 36

vanillaor chocolate?? xD lol >:>

Answers

Answer:

Chocolate for sure XD

Step-by-step explanation:

Hope this helps!! lol

What equation is graphed in this figure?
A: y−3=32(x+1)

B: y+1=−23(x−3)

C: y−4=−23(x+2)

D: y+2=−32(x−2)

Answers

The answer is B!! Have a good day

Solve the math problem

Only solve 3 and 4

Answers

Answer:

nothing is being showed

Step-by-step explanation:

Answer:

Step-by-step explanation:

3) Cost of o balloons = 0

4) It represents a proportional relation ship.

Reason

[tex]\dfrac{25.50}{3}=\dfrac{42.50}{5}=\dfrac{59.50}{7}=\dfrac{76.50}{9}=8.5[/tex]

What is the length of each side of this equilateral triangle?
A) 42
B) 30
C) 15
D) 12

Answers

Answer:

C I think hope you help this my answer

Answer:

15

Step-by-step explanation:

no explanation

Plzzzzzx help meeeeee

Answers

Step-by-step explanation:

first find out the area of sector ECF

π(10)² × 40°/360°

=100π×1/9

=100π/9 m²

now find the area of sector DCG

π(2)² × 40°/360°

=4π/9 m²*

so the area of the shaded region would be the big sector minus the small sector

so

100π/9 - 4π/9

=96π/9

=33.5 m² (3sig.fig.)

*Note that 4π/9 DOES NOT equal to 2π/3

4/9 DOES NOT EQUAL TO 2/3

HELP ASAP FOR BRAINLIST CROWN
Which function has the greater y-intercept? What is that value?

-10


4


10


3


16


Function A; 1.5


Function B; 30


Function B; 23


Function B; 3


8


2


Function A; 1


Function B; 1


Function A; 9

Answers

Answer:

function A;1

function B:30

c.
The family purchased refreshments and spent a total of $18.50. If the total amount of money spent
on tickets and refreshments was $94.50, use an equation to find the cost of one regular admission
ticket.

How would you write the equation?

Answers

(94.50 - 18.50) ÷ f = a

f=family members

a=answer

I don't know how many family members there are, but you would just replace f with the amount.

170 students or 85% of the students went to attend college what are the total number of students?

Answers

Answer:

200

Step-by-step explanation:

I think sorry if I am wrong

Write the equation of the arithmetic sequence “24, 34, 44, 54...” and then Find the 100th term.

show your work.

Answers

Answer:

1014

Step-by-step explanation:

Remember this formula to find certain terms in arithmetic sequences:

[tex]t_{n} =t_{1} +(n-1)d[/tex]

n = term number

[tex]t_{1}[/tex] = term #1

d = common difference

Sequence = 24, 34, 44, 54...

We are looking for term #100

So we do

[tex]t_{100} = 24 + (100-1)10\\t_{100} = 24 + 1000 - 10\\t_{100} = 24 + 990\\t_{100} = 1014[/tex]

Help? I need question 1-8 answers .

Answers

1) These angles are actually equal so set the equation to…
58=5x-2
60=5x
X=12


2) These angles are also equal to each other
16x+22=134
16x=112
X=7


3) These angles are equal too
7x-1=125
7x=126
X=18


4) These angles are supplementary so they add to 180 degrees
9x+2+133=180
9x+135=180
9x=45
X=5


5) These angles are equal as well
8x-77=3x+38
5x-77=38
5x=115
X=23


6) These angles are also equal
11x-47=6x-2
5x-47=-2
5x=45
X=9


7) these also sum to 180
13x-21+5x+75=180
18x+54=180
18x=126
X=7


8) These angles add to 180 as well
9x-33+5x+3=180
14x-30=180
14x=210
X=15

In conclusion, just know how to solve simple one variable equation and know which angles are congruent and supplementary and this will be easy.

Answer:

Hi please resend the question so i can help u!

Step-by-step explanation:

Which is equivalent to 4√3



will mark brainlist if right

Answers

Answer:

The result can be shown in multiple forms.

Exact Form: 4√3 = √48

Step-by-step explanation:


4√3 is equivalent to √48

Simplify the linear expression.

−2/3a+1/8−1/6a−3/4

Enter your answer as simplified fractions in the boxes.

Answers

Answer:

-5/6a - 5/8

Step-by-step explanation:

i took the k12 quiz

if you help me you get brainly

Answers

Answer:

3 ( 917 ) = 3 ( 900 ) + 3 ( 10 ) + 3 ( 7 )

5 ( 209 ) = 5 ( 200 ) + 5 ( 0 ) + 5 ( 9 )

6 ( 347 ) = 6 ( 300 ) + 6 ( 40 ) + 6 ( 7 )

9 ( 821 ) = 9 ( 800 ) + 9 ( 20 ) + 9 ( 1 )

11 ( 142 ) = 11 ( 100 ) + 11 ( 40 ) + 11 ( 2 )

Step-by-step explanation:

Answer:

Hint(look at the first number in each part and math it with the first number in each answer.) For example, 3(937), the distributive property for that one would be 3(900) + 3(30) + 3(7). Then for 5(209) it would be 5(200) + 5(0) + 5(9), then for 6(342), it would be 6(300) + 6(40) + 6(2). Then for 9(821), it would be 9(800) + 9(20) + 9(1), and for the last one it would be 11(143), it would be 11(140) + 11(40) + 11(3). You basically distribute each amount into different place values.

Step-by-step explanation:

Hope it helps. Mark brainiest if it does!

A faucet can fill a bathtub in 6 minutes. the drain can empty the tub in 10 minutes. If both the faucets and the drain are open at the same time, this situation is represented by this expression, where t is the number of minutes it will take to completely fill the bathtub.

[tex] \frac{t}{6} - \frac{t}{10} [/tex]
which expression can also represent this situation?

Answers

Answer:

4t/15

Step-by-step explanation:

Please trust me

The table below represents a linear function. Identify the rate of change of the function.
(0,4) (4,-3) (8,-10) (12,-17)

Answers

Step-by-step explanation:

the rate of change is the slope of the line y/x. it is always the factor of x in the equation.

it indicates how many units y changes, when x changes a certain amount of units when going from one point to another.

we only need to look at 2 points.

to go from (0, 4) to (4, -3)

x changes by +4 (from 0 to 4),

y changes by -7 (from 4 to -3).

so the rate of change is -7/3

The size of an insect population doubles every week. If there are 25 insects initially present, how many insects will there be in eight weeks?

Answers

Answer:

tence there will be 6,00 insects abter 8 weeks.

Step-by-step explanation:

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

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

[tex]y=-\frac{1}{4}x\\[/tex]

Step-by-step explanation:

The slope is calculated by "up ÷ across".

= -1 ÷ 4

= [tex]-\frac{1}{4}[/tex]

The y-intercept is just 0 (because the line meets at the y axis at 0).

So, using [tex]y=mx+b[/tex] (where m = slope and b = y-intercept),

[tex]y=-\frac{1}{4}x+0[/tex]

but the '+0' is unnecessary so we just say [tex]y=-\frac{1}{4}x[/tex]

Complete the equation to calculate the cost of the portable speaker, including sales tax.
$53
=
% of $50

Answers

Answer: The answer to this math question about completing the equation in order to calculate the cost of the portable speaker, including the sales tax is $94.34.

Step-by-step explanation: I don't have any step-by-step explanation, I'm sorry about that, but anyway, I hope that my given short answer is very helpful to your own math question about completing the equation in order to calculate the cost of the portable speaker, including the sales tax, please mark me as Brainliest, take care, always be safe, and have a great rest of the day! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

Using the discriminate. Find the number of real solutions. 2^2+7x-15=0

Answers

Answer:

= 11/7

Step-by-step explanation:

-2z+3-z=□-4z+2
please give me the answer

Answers

Answer: z=-1

Step-by-step explanation:

[tex]\displaystyle \rm -2z+3-z=-4z+2 \\\\ -3z+3=-4z+2 \\\\ 4z-3z=-3+2 \\\\ \underline{z=-1 \ \ \ \ } \\\\[/tex]

[tex]\large{\rm{\underline{\underline{Answer:}}}}[/tex]

Given to solve: -2z+3-z = -4z+2

⇛ -3z + 3 = -4z + 2

⇛ -3z + 4z = 2 - 3

z = -1

Required value of z is -1. The steps we followed are: We shifted z to a single side and other numbers to other side. Then we equated to get the result.

The hypotenuse of a certain number is 5 units and one leg is 3 units long. Find the area of the triangle

Answers

Answer:

Area: 6

Step-by-step explanation:

It's a five, four, three triangle. Multiply 3 by 4, then divide the answer by 2 to find the area.

-6 a solution to x<-8 yes or no

Answers

Answer:

No its not

Step-by-step explanation:

-6 is greater then -8 and in this case it’s not less then -8

Percent of 51,300-45,800

Answers

Answer: the percent is 112.01. please mark brainliest

Step-by-step explanation:

PLEASE HELP GIVING BRAINLIEST! :)

Answers

Answer:

10

Step-by-step explanation:

3a+b - 4

Let a =3 and b = 5

3(3) +5 -4

Multiply

9+5-4

Add and subtract

14-4

10

Answer:

10

Step-by-step explanation:

a = 3b = 5

= 3a + b - 4

= 3(3) + 5 - 4

= (3 . 3) + 5 - 4

= 9 + 5 - 4

= 9 + 1

= 10

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