Solve by completing the square x^2+6x+13=0

Answers

Answer 1

Answer:

x = -3 + 2 i or x = -3 - 2 i

Step-by-step explanation:

Solve for x:

x^2 + 6 x + 13 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 13 from both sides:

x^2 + 6 x = -13

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 9 to both sides:

x^2 + 6 x + 9 = -4

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x + 3)^2 = -4

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x + 3 = 2 i or x + 3 = -2 i

Hint: | Look at the first equation: Solve for x.

Subtract 3 from both sides:

x = -3 + 2 i or x + 3 = -2 i

Hint: | Look at the second equation: Solve for x.

Subtract 3 from both sides:

Answer: x = -3 + 2 i or x = -3 - 2 i


Related Questions

Answer and I will give you brainiliest




MATH​

Answers

Answer:

I think that the answer would be question 3

Step-by-step explanation:

I think i remember doing this question

"If four shirts cost $112, how much will 10 shirts cost? Assume all the shirts are the same price."

Answers

Answer:

$280

Step-by-step explanation:

4 shirts = $112

1 shirt = $112 ÷ 4

= $28

10 shirts = $28 × 10

= $280

Answer:

Step-by-step explanation:

112/4= $28 each

$28 x 10 shirts = $280

find the value of x. write your answer in simplest radical form

Answers

Answer:

[tex]x = 4 \sqrt{2} [/tex]

Step-by-step explanation:

To find the value of x we can use either sine or cosine

Using cosine we have

[tex] \cos(\theta) = \frac{adjacent}{hypotenuse} [/tex]

From the question

x is the hypotenuse

4 is the adjacent

We have

[tex] \cos45= \frac{4}{x} \\ x \cos45 = 4 \\ x = \frac{4}{ \cos(45) } [/tex]

We have the final answer as

[tex]x = 4 \sqrt{2} [/tex]

Hope this helps you

Step-by-step explanation:

Sinø=opp/hyp

Sin45=4/x. (× b.s by x)

xSin45=4. (÷ b.s by Sin 45)

x=4/Sin45

x=4.7

15 out of 60 is what percentage

Answers

25% since 15/60= 1/4= 0.25= 25%

Is 2 thirds times 5 greater than or less than 5

Answers

Less than 5 is your answer
Less than 5 is your answer!

Help. Your backyard is 17 feet longer than it is wide. Its area is 7068 square feet. Its width is Solve by using quadratic equation.

Answers

Answer: Width=76 ft

Step-by-step explanation:

Let x = width, then x+17=length

Solve:

(x+17)x=7086

x²+17x=7086

x²+17x-7086=0

(x-76)(x+93)=0 ⇔ This is rounded to the nearest integer

x=76 or x=-93 (rej) ⇔ A length cannot be negative.

What is 17% of 425=?

Answers


17% of 425 is 72.25.

Simplify the expression. (5x^3+4x^2+6x-3)+(-2x^3+3x^2-7x+9)-(5x+3)(4x^2+x-1)

Answers

Answer:

-17x³-10x²+x+9

Step-by-step explanation:

(5x³+4x²+6x-3)+(-2x³+3x²-7x+9)-(5x+3)(4x²+x-1)

(5x³+4x²+6x-3)+(-2x³+3x²-7x+9)-(20x³+5x²-5x+12x²+3x-3)

(3x³+7x²-x+6)-(20x³+17x²-2x-3)

-17x³-10x²+x+9

Helpppp I need to turn this in ASAP

Answers

Well, this should be a bit easy.

We can move the negative sign to the denominator:[tex] \frac{3}{-8}[/tex]

We can also multiply the entire fraction by an integer.

( I would perfer [tex] \frac{3}{-8}[/tex] as the answer)

:)

what is a number in which the digit 7 is worth 70

Answers

Answer:

Tens, 70, 7x10'1

Find the weighted average of these values.


Value Weight

5.005.00 75.0%75.0%

6.006.00 15.0%15.0%

7.007.00 10.0%10.0%

Answers

Answers:

The Weighted Average = 5.35

Explanation:

The weighted average is given by:

W(avg) = v1*w1 + v2*w2 + v3*w3

v1.v2.v3 are the values

w1,w2,w3 are the weights

W(avg) = 5.00*0.75 + 6.00*0.15 + 7.00*0.10

W(avg) = 3.75+0.9+0.7

W(avg) = 5.35

Hence, the weighted average is equals to 5.35

What is the solution of the following quadratic inequality? x2 – 4x – 21 ≤ 0

Answers

Answer:

This is the answer

Answer: B

Step-by-step explanation:


Solve for Xon the following Equations.
1. 4 + 7 x X = 22

Answers

Step-by-step explanation:

4 + 7 x X = 22

4+7x=22

7x=22-4

7x=18

x=18/7

You would add the 4 and 7 then get 11 x X=22. Once you get that subtract the 11 from both sides to get X=11

Need soome help on this homework question thanks

Answers

Answer:

See Below

Step-by-step explanation:

Jackson and Derek have a lemonade stand. They sell lemonade

Answers

Okay, but you need to be more brief if you want the question to be answered.
Is this a math question?

Find the midpoint between -3π and π

Answers

The midpoint is  -1π.

Answer:

The midpoint is  -1π.

Step-by-step explanation:

4x+7y given x=3/4 and y=-1/3

Answers

Answer:

4x+7y

4(3/4) +7(-1/3)

3-7/3

=2/3

please mark as brainliest


In the following figure, the teacher asks a student named Jerrica to find the length of segment AM. Jerrica sets the two sides equal to each other, does some algebra, and proclaims that the length of segment AM is 8 units long


State whether Jerrica is correct in her conclusion. If she is incorrect, explain the source of her error and give the correct length. In at least four sentences, support your response with a brief explanation. Be sure to include the terms midpoint, segment, and bisector in your explanation.

Answers

Answer/Step-by-step explanation:

Let us try to find the lenght of AM step-by-step to see if Jessica is correct or incorrect in her conclusion and possibly find out where she made an error if she's incorrect.

Now briefly, keys state some facts that explains or guides us while solving a problem like this:

1. Point M is the midpoint of segment AB.

2. The midpoint M, is a bisector of segment AB.

3. Segment AB is divided into two congruent or equal parts, AM and MB.

4. Therefore, by implication, segment AM (4x - 18) = segment MB (2x - 2).

5. To find the lenght of AM, we need to generate an equation to enable us solve for the value of x.

6. Equation to use to solve using algebra can be gotten by setting segment AM equal to segment MB. Which gives us:

4x - 18 = 2x - 2

Solve for x. Combine like terms.

4x - 2x = 18 - 2

2x = 16

Divide both sides by 2

x = 8

To find the lenght of AM = 4x - 18, replace x with 8 in the expression for the lenght of segment AM. (Note: this is what Jessica failed to do. She assumed 8 to be the length of segment AM.)

AM = 4(8) - 18 (Substitution)

AM = 32 - 18

Length of segment AM = 14 units

Jessica's error was her assuming that x = 8, is the length of segment AM. Her conclusion is wrong.

She ought to have plug in the value of x into the expression given for the lenght of segment AM.

If 13x+2=15 then 6x=?

Answers

Answer:

6x=6

Step-by-step explanation:

13x+2=15

13x=13

x=1

Answer: 6x = 6

X = 1

Step-by-step explanation:

First you need to find the value of x with the equation given.

13x = 13 (I subtracted 2 from both sides)

X = 1

-15 - 7= Please help if you know what it is please show work if you can as well? :)

Answers

Answer:

-22

Step-by-step explanation:

-22
It’s basically just adding -15 and -7

Please explain how this digraph works.

Answers

Angles XQL and MQR are congruent because they are vertical angles. So

209 - 13 b = 146 - 4 b

Solve for b :

209 - 13 b = 146 - 4 b

209 - 146 = 13 b - 4 b

63 = 9 b

b = 63/9 = 7

Then the measure of angle XQL is

(209 - 13*7)º = 118º

s=gr-5gc³, solve for g

Answers

Answer:

g=r/1+5c3

Step-by-step explanation:

............ ........


HELP QUICK
Remove grouping symbols and combine like terms.
4a2 - 3[2b - 3b(b - 1)]

Answers

Answer:
4a^2 - 15b + 9b^2

Step by step explanation:

Answer:

[tex]4a^{2} + 9b^{2} + 3b[/tex]

Step-by-step explanation:

Distributive Property

[tex]4a^2 - 3(2b - 3b^{2} + 3b)[/tex]

Distributive Property

[tex] {4a}^{2} - 6b + 9b^{2} + 9b[/tex]

Combine Like Terms

[tex]4a^{2} + 9b^{2} + 3b[/tex]

what is the first step to solve -2x+5x=9​

Answers

Answer:

Step-by-step explanation:

Hello,

You need to group the terms in x

[tex]-2 \times x + \times x = (-2+5) \times x = 3 x[/tex]

And then, you can divide by 3 to find the solution

[tex]-2x+5x=3x=9<=>x=9/3=3[/tex]

Hope this helps

Answer:

add the x's

You have to combine them

you have to subtract the -2x to the 5x



Complete the equation describing how

x and y are related.

-1

0

1

2.

3

y

-4

-4.5

-5

-5.5

-6

-6.5

y = -0.5x + [?]

Answers

Answer:

The relationship between x and y is;

y = -0.5x - 4.5

Step-by-step explanation:

When x = -1, y = -4.

Thus from y = -0.5x + [?], we have;

-4 = -0.5(-1) + [?]

Let's call the question mark m for easy identification.

-4 = 0.5 + m

m = -4 - 0.5

m = - 4.5

At x = 0, y = - 4.5. Thus;

-4.5 = - 0.5(0) + m

m = -4.5

At x = 1, y = -5. Thus;

-5 = - 0.5(1) + m

-5 = - 0.5 + m

-5 + 0.5 = m

m = -4.5

We are seeing the same patter as m = - 4.5

Thus the relationship between x and y is;

y = -0.5x - 4.5

make the numbers from 1 to 20 using the numbers 1 9 8 4​

Answers

Answer:

9-1+8+4

Step-by-step explanation:

9-1=8

use that 8 and add the other 8 to make 16

now add the 4. 16+4=20

Answer:

1, 4, 8, 9, 11, 14, 18, 19

need help 6th grade math​

Answers

going in order the numbers missing are 89, 472, 544, 531 and for the remainder i am. it sure i’m just guessing it’s 13

HELP!

Write an equation to represent: The cost of buying lemonade stand supplies is $0.50 per cup, $5 for ingredients, with a total cost of $30.

Answers

Answer:

$0.50x+5=30

Step-by-step explanation:

maf

Yoko has a rectangular poster that is 15centimeters long and 12 centimeters wide. What is the area of the poster in square meters.

Answers

Answer:

44

Step-by-step explanation:

you would add 15+15 and 12+12 because it is rectangular meaning there are 4 sides 2 for the y angle and 2 for the x angle

(Number 5)help plzzz

Answers

Answer:

See below.

Step-by-step explanation:

So we want to prove that:

[tex]\sqrt8+\sqrt2=3\cdot 2^{\frac{1}{2}}[/tex]

First, simplify √8. This is the same as:

[tex]\sqrt8=\sqrt{4\cdot 2}=\sqrt4\cdot\sqrt2=2\sqrt2[/tex]

Therefore, our equation is now:

[tex]2\sqrt2+\sqrt2=3\cdot2^{\frac{1}{2}}[/tex]

Combine like terms on the left:

[tex]3\sqrt2=3\cdot 2^\frac{1}{2}}[/tex]

The square root of something is the same as taking that number to the one-half power. Thus:

[tex]3(2)^\frac{1}{2}}=3\cdot 2^\frac{1}{2}}[/tex]

Rewrite:

[tex]3\cdot2^\frac{1}{2}}\stackrel{\checkmark}{=}3\cdot2^\frac{1}{2}}[/tex]

And we're done!

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