What are the solutions of this quadratic equation?
X^2 = 16x – 65

Answers

Answer 1

Answer:

x= 4.3125

Step-by-step explanation:

Answer 2

Answer:

x=4+7i and x=4-7i

Step-by-step explanation:

Rewrite the given quadratic equation by completing the square.

x^2-8x=-65

x^2-8x+16=-65+16

x^2-8x+16=-49

(x-4)^2=-49

Now, solve the equation by applying the square root property and isolating x.

(x-4)^2=-49

√(x-4)^2 = √-49

x-4=+7i

x=4+7i

So, the solutions to the given quadratic equation are x+4+7i and x=4-7i.


Related Questions

19 points Solve for c. 5/4c+12=2

Answers

Answer:

C= -8

Step-by-step explanation:

I used a calculator

Answer:

c=-8

Step-by-step explanation:

[tex]\frac{5}{4}c[/tex] + 12 = 2

1.25c + 12 = 2 ( change 5/4 to a decimal for easy understading)

1.25c + 12 - 12 = 2 - 12 ( isolate the variable rememebr whatever you do to the             right do it to the left )

1.25c = -10

1.25c / 1.25 = -10 / 1.25 (divide both sides by 1.25 )

c = -8

HOPE IT HELPED

1. Write the equation of a line parallel to y = -2x + 10 that passes through point (2, 4). ​

Answers

Answer:

y - 4= -2(x - 2)

Step-by-step explanation:

(This answer is in point slope form, if you need the answer in a different form like slope intercept, you would have to distribute the negative 2 and bring the negative 4 to the right side.)

So, you know the line is parallel to the equation y= -2x + 10. We know that parallel lines must have the same slope, so the answer will have a slope of negative 2. Because they have given you a point that the line passes through, we are going to put the answer in point slope form. we know a point and we know the slope, hence it is called point-slope.

Point slope form is y - y₁ = m(x - x₁). The m stands for the slope, and the x₁ and y₁ is where you will plug in the x and y coordinates (2,4) .

So to plug in the numbers into point slope form it would be y - 4 = -2 (x - 2). hope this helped :)

This equation shows how the total number of souvenirs Mark buys is related to the number of days he spends on vacation. s = d The variable d represents the number of days he spends on vacation, and the variable s represents the total number of souvenirs he buys. How many days will Mark have to spend on vacation before he will have bought a total of 12 souvenirs?

Answers

Answer:

12 days

Step-by-step explanation:

Given:

s = d

Where,

d = number of days he spends on vacation

s = total number of souvenirs he buys

How many days will Mark have to spend on vacation before he will have bought a total of 12 souvenirs?

s = 12

Since,

s = d

Then,

12 = d

Therefore, Mark will have to spend a total of 12 days on vacation before he will have bought a total of 12 souvenirs

(x - 9) (x + 1)
Use F.O.I.L to expand

Answers

ok f.o.i.l

Farting.On.Iggy.Lucky

Answer:

x²-8x-9 i think?

Step-by-step explanation:

Please help!!!
Geometry

Answers

Answer:

estimately 10.3

Step-by-step explanation:

Logan used 12 centimeters of tape to wrap 4 presents. How much tape will Logan need in all if he had wrap 8 presents? Assume the relationship is directly proportional.

Answers

Answer:

24 centimeters

Step-by-step explanation:

Write a linear function in slope intercept form given the slope of the equation is -4 and the y intercept is 6.

Answers

Answer:

6=-4x+b

Step-by-step explanation:

You plug in the numbers but the formula that you use is y=mx+b with x being the number you don't know

please help!!

Find the measure of angle Q and length of QR.


The perimeter of QRS is 344 cm. m QR= _______

Answers

Answer:

[tex]m\angle {Q}[/tex] = 56°

QR = 167

y = 136

Step-by-step explanation:

Please help I’m not sure if I’m right

Answers

Answer:

C

Step-by-step explanation:

75.54*550=41,497.5

7(n+4)=21 what is n?

Answers

Answer:

-1

Step-by-step explanation:

divide both sides by 7 and you will get (n+4)=3

then subtract 4 on both sides and get n is equal to -1

Answer:

-1

Step-by-step explanation:

Alyssa is paid a 5 percent commission on her total sales each month. Last month, she sold $30,000 worth of items. After a state tax rate of 9 percent is deducted from her commission, how much is left to the nearest dollar?
$135
$150
$1,365
$1,500

Answers

$1,365 is the answer, (the third choice)

Answer:

c

Step-by-step explanation:

bc

How much interest would $1,000,000 earn at 2% compound daily, in one day?

Answers

Answer:

$54.79 is the answer

Step-by-step explanation:

Here are several recipes for sparkling lemonade. For each recipe
describe how many tablespoons of lemonade mix it takes per cup
of sparkling water,
Recipe 1: 4 tablespoons lemonade mix and 12 cups of sparkling
water
Recipe 2: 4 tablespoons of lemonade mix and 6 cups of sparkling
water
Recipe 3: 3 tablespoons of lemonade mix and 5 cups of sparkling
water
Recipe 4: 1 tablespoon os lemonade mix and 3 cups of sparkling
water

Answers

Answer:

Recipe 1: 1/2tbs of lemonade mix per cup of sparkling water

Recipe 2: 2/3tbs per cup

Recipe 3: 3/5tbs per cup

Recipe 4: 1/3tbs per cup

Step-by-step explanation:

To find the amount of lemonade mix per cup of sparkling water, we just need to divide the amount of lemonade mix in each recipe by its respective amount of sparkling water as this will give us the average amount per cup.

Recipe 1: 4 tbs lemonade mix, 12c sparkling water.

4/12 = 1/3, Recipe 1 requires 1/3 tablespoon per cup of sparkling water.

Recipe 2: 4tbs Lemonade, 6c water

4/6 = 2/3, Recipe 2 requires 2/3 tablespoon per cup of sparkling water.

Recipe 3: 3 tbs lemon, 5c water

Recipe 3 requires 3/5 tablespoon per cup of sparkling water.

Recipe 4: 1 tbs, 3c water

Recipe 4 requires 1/3 tablespoon per cup of sparkling water.

Hope this helped!

Find the term named in the problem.
-21, - 13, -5, 3, ...
Find a23

Answers

a(n) = a(1) + ( n - 1 ) × d

a(23) = -21 + ( 23 - 1 ) × 8

a(23) = -21 + ( 22 ) × 8

a(23) = -21 + 176

a(23) = 155

And we're done....

♥️♥️♥️♥️♥️

PLEASE HELP MEEEEE!!!!!!!

Answers

Answer:

Cheese: [tex]4\frac{3}{8}[/tex]  Milk: [tex]1\frac{2}{3}[/tex]  Pasta: [tex]6\frac{1}{4}[/tex]

Step-by-step explanation:

Cheese:

[tex]1\frac{3}{4} = \frac{7}{4}[/tex]  Set up a proportion: [tex]\frac{\frac{7}{4} }{4} = \frac{x}{10}[/tex]  Cross multiply, then divide: 10 × 7/4 = 17.5, 17.5 ÷ 4 = 4.375[tex]4.375 = 4\frac{3}{8}[/tex]  

Milk:

Set up a proportion: [tex]\frac{\frac{2}{3} }{4} = \frac{x}{10}[/tex]  Cross multiply, then divide: 10 × 2/3 = [tex]6\frac{2}{3}[/tex], [tex]6\frac{2}{3}[/tex] ÷ 4 = [tex]1\frac{2}{3}[/tex]  

Pasta:

[tex]2\frac{1}{2} = \frac{5}{2}[/tex]  Set up a proportion: [tex]\frac{\frac{5}{2} }{4} = \frac{x}{10}[/tex]  Cross multiply, then divide: 10 × 5/2 = 25, 25 ÷ 4 = 6.25[tex]6.25 = 6\frac{1}{4}[/tex]  

I hope this helps!

Turn this into numerical form -> one-half the sum of x and 12

Answers

Answer: 1/2(x+12)

Step-by-step explanation:

slope=?

please help

Answers

Answer: It's 4

Step-by-step explanation: 12-8 is 4, 4-3 is 1

please help asap!!! will give brainliest answer

Answers

Angle AOB and angle DOC are identical because they share 2 parallels considering it is a bisection.

Answer:

Angle AOB and angle DOC are identical because they share 2 parallels considering it is a bisection

Step-by-step explanation:

Write one-page given the following scenario, determine if the salesman’s conjecture is logical? Why or why not? Is it true? Why or why not? Provide a counterexample that would disprove his hypothesis:

A car salesman sold 5 used cars to five different couples. He noticed that each couple was under 30 years old. The following day, he sold a new, luxury car to a couple in their 60’s. The salesman determined that only younger couples by used cars.

Answers

Answer:

His conjecture is not logical.

Step-by-step explanation:

If he sold a car to a couple above 30, how did he think only younger people bought cars? He is not logical.

Please help me out!!! :)
How can you look at the equation of two lines and determine if they will be parallel?

Answers

Answer:

fafg and then do the 2a ab 2b

Step-by-step explanation:

2x+y=10 Find one non solution and solution. EXPAIN plz help i have a timed test ill make brainliest.

Answers

Answer:

x=20-y

y=20-x

Step-by-step explanation:

divide by 2 on both sides: x+y=20

to find x, subtract y:

x=20-y

to find y, subtract x:

y=20-x

nothing else can be done unless you know either y or x.

Arisia puts $500.00 into a savings account with an annual simple interest rate of 4.5%.
Part A
How much interest does she earn per year?

Answers

Answer:

$22.50

Step-by-step explanation:

$500.00 × 0.045=22.50

Are the following ratios equivalent? Explain.
2:10
6:60

Answers

Answer:

No

Step-by-step explanation:

it would 12:60

6x2=12

6x10=60

Answer:

they are not equivalent

Step-by-step explanation:

7 : 35

12 : 60

17 : 85

22 : 110

hear are ratios that are equivalent to 2:10

Solve for indicated variable 4y + 3x= 5 for x

Answers

Answer:

4y + 15

Step-by-step explanation:

The other answer on the red box is 7.

Answers

Answer:

8

Step-by-step explanation:

that is an isosceles triangle. they have 2 sides that are the same

8*4 is 32+7 is 39

9*8 is 72-33 is 39

What is the slope of line p

Answers

U have to show us what line p looks like

Help!!!!!!!!!!!!!!!!Will mark BRAINLIEST​

Answers

Answer:

Step-by-step explanation:

1. true

2. true

3. false ( pie chart )

4. true

5. false ( y axis )

6. true

7. true

Hope this helps

plz mark as brainliest!!!!!!

Y – 9.9 = 6.4
What are the steps to solve this and the answer

Answers

to be honest I'm looking for the delay but if they are not going through it and it will work and I am going through it.

Hope the answer I gave you helps!!!
:)

A movie theater has two rooms. Room A has 7 rows of seats with 21 seats in each row. Room B has four times as many seats as Room A. How many seats are there in both rooms?

Answers

Answer:

588

Step-by-step explanation:

Because 7x21=147 then you take 147x4 and that equals 588 seats

Multiply the polynomials (3x+4)(5x+1)

Answers

Answer:

15x^2 + 23x + 4

Step-by-step explanation:

(3x+4)(5x+1)

You put them around a square, like in the picture.

You then cross multiply them.

After that, add all the numbers together.

Hope this helped!

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