The only solution to x^2 + bx + c = 0 is x = 5

Work out the values of b and c.

Answers

Answer 1

Answer:

b=-10

c=25

Step-by-step explanation:

if the only solution is 5 so

x^2+bx+c=(x-5)²=x²-10x+25

b=-10

c=25

Answer 2

For the given quadratic equation [tex]x^{2} +b x + c=0[/tex] value of 'b' = -10 and value of 'c' = 25.

What is quadratic equation?

" Quadratic equation are defined as the algebraic equation in which highest exponent of the variable is two. General form of quadratic equation  is [tex]ax^{2} + bx + c=0[/tex] where a≠0."

According to the question,

Given quadratic equation is,

[tex]x^{2} +b x + c=0[/tex]             ______(1)

Solution of the given quadratic equation x = 5.

From this we have,

[tex]x-5=0\\\\(x-5)^{2} =0[/tex]                      _____(2)

Equate equation (1) and (2)  to get the value of 'b' and 'c' ,

[tex]x^{2} +b x + c=(x-5)^{2}[/tex]

⇒[tex]x^{2} +b x + c= x^{2} -10 x + 25[/tex]

Compare Left hand side and right hand side we get,

b = -10

c = 25

Hence, for quadratic equation [tex]x^{2} +b x + c=0[/tex] value of 'b' = -10 and value of 'c' = 25.

Learn more about quadratic equation here

https://brainly.com/question/22277991

#SPJ2


Related Questions

**MARKING BRAINLIEST PLEASE HELP**

Answers

Answer:

whats the question

Step-by-step explanation:

Use any method to solve the following system of equations: Equation #1: 2y = x - 4 Equation #2: 4x + 3y = 5 *

(2, -1)
(-2, -1)
(2, 1)
(-2, 1)

help please!!

Answers

Answer:

Step-by-step explanation:

the answer is (2,1)

The
Answer
Of
This
Question
Is
(2,1)

Plz Asp help me ...plz guys

Answers

Step-by-step explanation:

False.

intersects the y-axis => x=0

tan (0+ π/6) = tan π/6 = 0.58

instead of 1.73

double the number plus three times another number is 54. the difference between these two numbers is three. what are the two numbers?

Answers

Step-by-step explanation:

54

=2×27

=54

=27×2

=54

=2,27

PLEASE HELP! Which ones are statistical questions? Mark all that apply. ( no random links )

Answers

Answer:

C, D and F

Step-by-step explanation:

A clothing company produced 1400 items of clothing. Of those,
15% were jackets, 35% were dresses, and 20% were shoes.
How many of the items of clothing were NOT jackets, dresses, or shoes?

Answers

1400 x 0.15 = 210
1400 x 0.35 =490
1400 x 0.20 = 280
.2 + .15 + .35 = 0.70
1400 x .70 = 980
1400- 980 = 420
420 items were not jackets dresses or shoes

The figure shown is created by joining two rectangles.

Enter the area, in square inches, of the figure.

Answers

Answer:

1375 square inches

Step-by-step explanation:

Rectangle 1

Area= 25*10= 250 square inches

Rectangle 2

Area= 75*15= 1125 square inches

Total Area of rectangle= 1125+250

=1375 square inches

Who could help me on the last part

Answers

Step-by-step explanation:

X^a times X^b = X^a + b

so 4x times 6x = 24x^(1+1)

Can someone help me I’m supper confused

Answers

Let x represent the cost of a slice of pizza and let y represent the cost of a hamburger. 7 hamburgers and 3 slices of pizza cost $19, i.e. the $20 you paid minus the $1 change. 8 hamburgers and 2 slices of pizza cost $19.50. So:
3x+7y=19 and 2x+8y=19.5
Solve the system for the values of and . Multiply by 3 and multiply by 5, then add the two products. Subtract the sum from $20 for your answer.

help me please I need help what is the square root of 99​

Answers

Answer:

9.94987437107

Step-by-step explanation:

or 9.95 hope this helps you could also use 3√11

En un triángulo, dos de sus ángulos internos miden 40º y 55º. Hallar la medida de su tercer ángulo interno.

Answers

Answer:

La medida del tercer ángulo interno es 85°.

Step-by-step explanation:

Los triángulos son figuras geométricas planas que poseen tres lados en contacto entre sí en puntos comunes denominados vértices. A su vez, los triángulos poseen tres ángulos interiores. Estos tres ángulos interiores del triángulo suman 180°.

En este caso, en un triángulo, dos de sus ángulos internos miden 40º y 55º. Siendo θ el tercer ángulo interior, entonces:

θ + 40° + 55°= 180°

Resolviendo:

θ + 95°= 180°

θ= 180° - 95°

θ=85°

La medida del tercer ángulo interno es 85°.

Can anyone help plz??

Answers

Answer:

5x+2=11x-70

2+70=11x-5x

72=6x

x=72/6

x=12°

PLSSSS HELP!!! AND NO LINKS!!

Answers

Answer:

A

Step-by-step explanation:

In 2 months, he got 70 stamps, meaning 35 stamps per month. On the first month, he has 55 stamps by the end of the first month, and since every month he gets 35 stamps, He was given 20 Stamps to start with. It is not D since he saves 35 stamps himself every month, meaning from the beggining of that month, he had 20, and by the end had 55, since the question specifies it shows the amont of stamps at the END of the month.

Guys I need help on all three please​

Answers

Answer:

graph 1 proportional

graph 2&3 is non proportional

i think

I need help with this please!

Answers

the correct answer is 4 seconds

Suppose you roll a die. What is the probability that you do not roll a 4?

Answers

Answer:

5/6

Step-by-step explanation:

There are six sides on a die, and they are asking the probability of not rolling a 4. So it would be 5 out of 6

Have a good day :)

HELP!! I need to do this today (Show steps) first answer gets BRAINLY


Which of these best describes the profit Emily gets from selling these cards?


A. 7.50 per box

B. 10.00 per 30 box

C. 3.00 per 4 boxes

Answers

Answer:

A. 7.50 per box

Step-by-step explanation:

We know that when there are 4 boxes, we make 30 dollars. Divide 4 from 30 to get 30/4 which is equal to 7.5. This means we make 7.5 dollars per box.

If this helps please mark as brainliest

PLEASE HELP NE WITH THIS!!!!!!!!!!!!

Answers

Answer:

Rectangle

Step-by-step explanation:

If you connect all those points on the coordinate plan ,a rectangle is formed

Answer:

Rectangle

Step-by-step explanation:

Hope this helps! Leave any questions or concerns in the comments, byeeee <3

what is the answer I need help​

Answers

Answer:

C

Step-by-step explanation:

The product will be greater than

If a box has a length of 12 inches, a width of 10 inches and a height of 6 inches, what is the volume?

Answers

720

(12inches x 10inches x 6inches)

Answer:720 inches cubed

Step-by-step explanation: volume=lengthxwidthxheight

the ratio of sparrows to finches at the bird feeder is 3 to 4. If there were 12 sparrows, how many finches were there? explain​

Answers

Answer:

16

Step-by-step explanation:

3 sparrows for every 4 finches

12 sparrows

12÷3= 4

4×4= 16

16 finches

How to solve for the missing side useing the pythagorean theorem

Answers

Answer:

cos =

[tex] \frac{adjacent}{hypotsus} [/tex]

coß = 9÷15

the missing side is 0.6 nor 3/5

ace or expert pls help​

Answers

Answer:

Step-by-step explanation:

-0.25

-1/3

1/4

0.3

Answer:

D

Step-by-step explanation:

When multiplying exponential terms with the same base, which best explains how to simplify the expression?

A.Add the exponents.
C.Subtract the exponents.
B.Multiply the exponents
D.Divide the exponents.

Answers

Answer: A

Step-by-step explanation:

Answer:

A. Add the exponents.

Step-by-step explanation:

The rule for same base multiplication is:

[tex] a^m \times a^n = a^{m + n} [/tex]

Add the exponents.

Answer: A. Add the exponents.

PLEASE HELP IF POSSIBLE :)

Answers

Answer:

158 square feet

Step-by-step explanation:

2(lb+bh+lh)

2(40+24+15)

80+ 48+30

158

What is the area of the kite?

Answers

Answer:

9m squared

Step-by-step explanation:

Area of a kite is xy/2

= 8 X 10 divided by 2

Anthony is wrapping a birthday gift in the box shown below about how much wrapping paper would he need to completely cover the box if there’s no waste overlap (round to the nearest inch)

Answers

Answer:320

Step-by-step explanation:

What is the distance along the Ferris wheel between two consecutive seats if the radius of the Ferris wheel is 45 ft and there are 30 seats which are equally spaced apart?

Answers

230.4 is the answer

4:
4 1/2, 4 1/6, 4.85

the number with the greatest value is?

PLEASE HRLP QUICK!!!!

Answers

the number with the greatest value is 4.85

Answer:

4.85

Step-by-step explanation:

4 1/2= 4.5

4 1/6= 4.1666666667

4.85.

when you put them into the decimal form you can see that 4.85 is the largest.

hope this helped.

A rancher has a rectangular sheep pen that is 3 meters long and 2 meters wide. The rancher plans to increase both the length and the width of the pen by x meters so that the new area of the pen will be 20 square meters?

Answers

Step-by-step explanation:

20=3x+2x.

3x+2x=5x,

so

5x=20.

20/5=4, so

4=x

Other Questions
Which is a true statement?O A. 48 is 25% of 160.O B. 32 is 40% of 88.O C. 40 is 60% of 100.O D. 72 is 80% of 90. Which term refers to a word that is derived from a verb and ends in -ing but functions as a noun in a sentence?participlegerundverbinfinitive 6k < 100Check all that are true.k = 5k = 15k = 10k = 20 Use the information provided in the table todetermine the K, for methylammonium ion, theconjugate acid of methylamine.X6.8 x 10-194.4 x 10102.8 x 1092.3 x 10-11 How many gallons of a plant food that is 6% nitrogen must be combined with another plant food that is 30% nitrogen to make 10 gal of a plant food that is 15% nitrogen? In "A Defence of Poetry " Shelley suggests that the only thing that lasts is change Which line from "Mutability" can also be seen as a reflection of this idea? number of protons and electrons and atomic mass for a given element Please I need help asappp:(! 3^4 + 4 5 = ____. (Input only whole numbers.) The graph shows a function f(x). Determine thefollowing values.f-1(4) =f-1(-5) =F-1(0) = If John loses -$50 over 10 days, on average how much does he lose in one day? Find the distance between the points (4, 0) and (8,3). reasons why managers may be reluctant to participate fully in setting budgets?? The 25th Amendment to the U.S. Constitution was important in the 1970s because it which number line shows the solution to the inequality below-4g 40 POINTS AND BRAINLIEST PLS HELP After hearing about an oil spill, Natalia decides to investigate how oil may affect birds in aquatic ecosystems. She gets some bird feathers. She takes the mass of one, dips it in oil, then takes its mass again. The images show the bird's feather before and after being dipped in oil.dry feather and feather-covered in oilThe table gives the mass of the feather before and after being dipped in oil.Before Oil After OilMass 1.1 g 4.5 gDescribe how the mass and the appearance of the feather changed because of the oil. Can Natalia clean off the feather using water? Predict what will happen if Natalia dips feathers covered in oil in either cold water or in hot water. Commandos con pronombres I need help ASAP helllppp porfavor:,)x/9=15/2 rounded to the nearest tenth20/8.7=5.8/x to the nearest tenth5/16=11/x nearest tenthx/0.06=17/0.5 to the nearest tenth29/x=75/44 What is the volume of the cylinder below? PLEASE HELP RN GEOMETRY PLS HELPWHATS THE VOLUME WILL MARK BRAINLIST GOD BLESS