solve for the roots in simplest form by completing the square

x^2-12x+20=0

Answers

Answer 1

Answer:

x = 10 or x = 2

Step-by-step explanation:

Solve for x:

x^2 - 12 x + 20 = 0

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

Subtract 20 from both sides:

x^2 - 12 x = -20

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

Add 36 to both sides:

x^2 - 12 x + 36 = 16

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x - 6)^2 = 16

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

Take the square root of both sides:

x - 6 = 4 or x - 6 = -4

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

Add 6 to both sides:

x = 10 or x - 6 = -4

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

Add 6 to both sides:

Answer: x = 10 or x = 2


Related Questions

what is the total number of yards lost or gained ​

Answers

-3.5x3= -10.5 -10.5+7.4= -3.1 -3.1+1= -2.1

Answer: -2.1 yards

Write an equation of the parabola in vertex form

Answers

Answer:

y = -1/9(x - 3) + 1.

Step-by-step explanation:

THe vertex is at (3, 1) so we can write:

y = a(x - 3)^2 + 1    where a is a constant.

Now the point 1, 5/9) is on the parabola so:

5/9 = a(1 - 3)^2 + 1

5/9 =  4a + 1

4a = 5/9 - 1 = -4/9 so

a = -4/9 / 4

a = -1/9

So the equation is y = -1/9(x - 3) + 1.

Un comerciante compra 320 kg de azúcar en $784.00 en cuanto debe vender el kg. Para ganar el 18% sobre el precio de compra

Answers

Total venta con beneficio: 784 * 1,18 = $925,12

Total venta por kilo: 925,12 : 320 = $2,89

A gift card stores data using a black, magnetic stripe on the back of the card. Find the width w of the stripe.

Answers

The width of w is 0.90 cm.

Find the length of the sides:

The first step to solve this problem is to find how long is each side.  About this, we know one side is 8 1/2 cm or 8.5 but the other side is not exactly given (4cm + w + 2/3 w). To determine the length of this size, use the area formula:

A = side a x side bSide b = A / side aSide b = 46.75 / 8.5Side b 5.5

Find the length of w:

The total length of the side - known side

5.5 - 4 = 1.5

This means w + 2/3 w (0.66 w) is equal to 1.5

Find w:

w + 2/3 w = 1.5w + 0.66w = 1.51.66 w = 1.5w = 1.5/ 1.66w =  0.90 cm

Learn more about width in: https://brainly.com/question/3133832

Write a story problem that can be represented with the following equation:
5x + 10 = 35

Answers

Annie has a lemonade stand and her mom pays her 5 dollars every week for her to go get her supplies. Her dad pays her ten dollars one week. She has 35 dollars that month. How many weeks did Annie’s mom pay her?

35 - 10 = 25

25 divided by 5 equals 5.

To check: 5 x 5 equals 25 plus 10 equals 35

Mathematics, I want the answer only.

Answers

Hope this helps

Answer: 60

Answer:

[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=60

Step-by-step explanation:

the answer is A

Jack's Plumbing charges customers $100 per hour for repair jobs. A-1 Plumbing charges according to
the equation y = 75x + 50, where x = time in hours and y = cost in dollars.
Explain why A-1 Plumbing charges less than Jack's Plumbing for a 4-hour repair job.
Does A-1 Plumbing charge less than Jack's Plumbing for all repair jobs? Explain why or why not.

PLEASE HELPP

Answers

Answer:

37/3

Step-by-step explanation:

What is the measure (in radians) of central angle 0 in the circle below? Enter an exact expression.

Answers

Answer:

[tex] \frac{\pi^{c} }{3} [/tex]

Step-by-step explanation:

Measure of the length of an arc of a circle is given as:

[tex]l = \frac{ \theta}{2\pi} \times 2\pi r \\ \\ \pi = \frac{ \theta}{2\pi} \times 2\pi \times 3 \\ \\ 3 \theta = \pi^{c} \\ \\ \theta = \frac{\pi^{c} }{3} \\ [/tex]

science 8th grade 10 pts
What best explains the relationship between photosynthesis and cellular respiration?

The higher the rate of formation of products in respiration, the lower the rate of photosynthesis.
Photosynthesis depends on the carbon dioxide released during cellular respiration.
Cellular respiration depends on the water released during photosynthesis.
They have the same set of product molecules.

Answers

Answer:

Photosynthesis depends on the carbon dioxide released during cellular respiration.

Step-by-step explanation:

Joel is looking at payment plans for the gym.

Plan A: $25 per month plus $145 to start

Plan B: $50 per month


How many months would it take for Plan A to be cheaper than Plan B?

Answers

Answer:

5 months

Step-by-step explanation:

plan a: $145 +$25x ........ $145 + ($25 x 4)= $245

plan b: $50x.......... $50 x 5= $250

Gareth believes that if he flips a coin 820 times, it will land heads up exactly 410 times. What would you tell Gareth about his prediction?

Answers

Answer:

A coin has a 50/50 chance to land on heads and if you flip it 820 times the most accurate prediction would be to split that 50/50.

Step-by-step explanation:

A coin has a 50/50 chance to land on heads and if you flip it 820 times the most accurate prediction would be to split that 50/50.

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

To know more about probability refer to :

https://brainly.com/question/13604758

#SPJ2

Which statement below is always true?


The product of a number and zero is equal to that number.The product of a number and zero is equal to that number. ,

The product of two negative numbers is negative.The product of two negative numbers is negative. ,

The product of a positive number and a negative number is positive.The product of a positive number and a negative number is positive. ,

The product of two positive numbers is positive.

Answers

Answer:

the product of two positive numbers is positive.

Step-by-step explanation:

the product of a number and zero will always be zero, the product of two negative numbers is always positive, and the product of a positive number and a negative number is always going to be negative thereforew the only correct answer is the last option

Ratio table answer If I buy two ice cream’s for six dollars how much would it cost to buy 10 ice cream’s

Answers

Answer:

It would cost $30 to buy 10 ice creams.

Step-by-step explanation:

1 ice cream costs $3

10*3=30

your height is 5ft 2 in btw i will give brainliest

Answers

Answer:

about 6

Step-by-step explanation:

a shadow is long so it kind of depends on where the sun is but what the shadow is casting off of is no actually that tall

About 6 I think this is right

1. If f(x) = 5x4 tan-1x, find f '(x). ( 4 points)

Answers

Answer:

what are the answer choices

Step-by-step explanation:

Find the length of each side

Answers

The triangle is equilateral, so all sides are equal.

4x = 3x + 2

x = 2

4x = 8

All sides measure 8 units.

I NEED HELP FAST Zane is determining whether the given value of the variable is a solution of the equation.

13 + h = 21 for h = 9

What steps should Zane take? Check all that apply.
Substitute 9 for the variable h.
Substitute 21 for the variable h.
Simplify by adding 13 and 21.
Simplify by adding 13 and 9.
21 = 21, so 9 is a solution to the equation.

Answers

There are two ways to verify whether the value of ( h ) assumed to be equal to 9 satisfies the given equation:

                          13 + h = 21

                          13 - 13 + h = 21 - 13

                           0 + h = 8

                           h = 8                

                           8 ≠ 9    

 

                          13 + ( 9 ) = 21

                              22 = 21

                              22 ≠ 21

 3) Conclude: The given value of ( h ) is not a solution of the given equation.

A lake is regularly fished by 200 fishermen. A study has found that 31% of the fish
in a lake are bass. Scientists determine there are approximately 16 000 fish in the
lake and that no more than one quarter of any type of fish should be taken out of
the lake in a year if the species is to survive. What is the limit on the number of
bass for each fisherman in one year?*
SHOW ALL STEPS OF YOUR CALCULATIONS

Answers

Answer:

Step-by-step explanation:

I think I had this question

What is the answer to the following equation:
[tex]\frac{5}{4} \geq \sqrt[-443]{343434789} \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \alpha \beta x_{1397} \neq 8^{2}[/tex]

thanks[tex]\frac{5}{4} \geq \sqrt[-443]{343434789} \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \alpha \beta x_{1397} \neq 8^{2}[/tex]

Answers

Answer:

bro go0gle is the right answer for this i dont think the smartes person in the world can solve this.

Step-by-step explanation:

Consider the sequence 4,-12,36,-108... is it a arithmetic sequence or a geometric sequence justify your answer

Answers

Answer:

Geometric Sequence

Step-by-step explanation:

It's a geometric sequence because it has a common ratio of -3.

Plz answer will give brainliest if correct

Answers

Answer:

The answer is A.

Step-by-step explanation:

Marks car get 32 mpg. He is planning a road trip from Miami to Atlanta. he plans to drive 200 miles. the first day and 480 the next. How many more gallons will he use the second day compared to the first.

Answers

Answer:8.75 gallons

Step-by-step explanation:

well first his car drives 32 mpg, so with this info you divide 200 by 32.Which is 6.25 gallons.Then do the same with 480,480 divided by 32 which is 15 gallons.subtract it 15-6.25 which is 8.75.8.75 more gallons is the answer.

Correct answer:

8.75 more gallons used the second day compared to the first day

Streamline Market sells ground beef. Ground Beef sells for 1 pound at $1.39. 1 pound makes 4 hamburgers. What is the cost of 30 hamburgers rounded to the nearest cent?

Answers

The answer is 10.43$

Step by step:
30 / 4 = 7.5, so 7.5 pounds is needed
7.5 x 1.39 = 10.425 which is rounded to 10.43$

Identify the kind of sample that is described. A researcher asked a simple random sample of home-schooled children, a simple random sample of children who attend private school, and a simple random sample of children who attend public school their opinion on the new town curfew.

Answers

Answer:

stratified sample

Step-by-step explanation:

The kind of sample that is being described is known as a stratified sample. This would be the type of sample because the researchers are dividing the entire student population that exists into various different categories or groups. The groups that have been created are home-schooled students, private school students, and public school students. All of the students are still part of the student population and therefore represent their groups.

I have to use sin, cos, and tan on this problem and I'm stumped.​

Answers

Answer: ahhh boohoo. Where’s the photo

Step-by-step explanation:

Ba

Review: Jen sells flowers. She charges $2 per flower plug a $3 flat delivery fee. How many flowers did she deliver if she made $21?

Answers

Answer:

she delivers 9 flower plugs.

Step-by-step explanation:

in a standard equation the equation would be 21 = 2x + 3 and if you isolate the x you would have to first subtract the 3 from both sides and that would leave you with 18 = 2x and then you have to divide both sides by 2 and get 9=x

'If there is a ton of corn in a tank, and 500 pounds of corn are removed, what is the
weight of the remaining corn in the tank?

Answers

Answer:

1,500 pounds :>

Step-by-step explanation:

There are 2,000 pounds in 1 ton, take away 500 from 2,000 you get 1,500

Tamara wants to pour a pitcher holding 5 cups of juice into servings that are 1/3 cup in size. How many servings are possible?

Answers

Answer:

15

Step-by-step explanation:

5 x 3 = 13

15 servings are possible.

Which statement about the angles in the figure is true?
Helppp

Answers

9514 1404 393

Answer:

  m∠1 +m∠8 = 90°

Step-by-step explanation:

There is no necessary sum relation between angles 3 and 5 or angles 7 and 10. The only thing you can say about those angle pairs is ...

  ∠3 + 90° = ∠5

  ∠10 +90° = ∠7

Angles 8 and 9 are congruent, so don't have any necessary sum.

Angle 1 is congruent with angle 3, which is complementary to angle 8, so we must have ...

  m∠1 +m∠8 = 90°

i need help asap due tonight

Answers

Answer:

3 bucks

Step-by-step explanation:

Answer:

d=3

Step-by-step explanation:

if the whole thing equals 19, and you know that part of it is 10, that leaves the rest of it to be 9. the rest is divided into 3s, if you know the whole section is 9 then all you would have to do is divide 9 by 3 and that would get you 3

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