What values of b will cause 8x^2 x bx + 2 = 0 to have one real solution?

=======================================================

Explanation:

I'm assuming you meant to type 8x^2 + bx + 2 = 0

Compare this to ax^2 + bx + c = 0

We have a = 8, b = unknown, c = 2.

We'll use the discriminant formula which is D = b^2 - 4ac to find that

D = b^2 - 4ac

D = b^2 - 4*8*2

D = b^2 - 64

Since we want one real solution, we set the discriminant equal to zero.

D = b^2 - 64

0 = b^2 - 64

64 = b^2

b^2 = 64

b = sqrt(64) or b = -sqrt(8)

b = 8 or b = -8

So the equation 8x^2 + 8x + 2 = 0 has one solution. So does the equation 8x^2-8x+2 = 0

Answer:

To find the value of  

b

where there will be just ONE soluition, we set the discriminate equal to  

0

, substitute for  

a

and  

c

and solve for  

b

:

Substitute:

2

for  

a

−

b

for  

b

−

9

for  

c

−

b

2

−

(

4

⋅

2

⋅

−

9

)

=

0

−

b

2

−

(

−

72

)

=

0

−

b

2

+

72

=

0

−

b

2

+

72

−

72

=

0

−

72

−

b

2

+

0

=

−

72

−

b

2

=

−

72

−

1

⋅

−

b

2

=

−

1

⋅

−

72

b

2

=

72

√

b

2

=

±

√

72

b

=

±

√

36

⋅

2

b

=

±

√

36

√

2

b

=

±

6

√

2To find the value of  

b

where there will be just ONE soluition, we set the discriminate equal to  

0

, substitute for  

a

and  

c

and solve for  

b

:

Substitute:

2

for  

a

−

b

for  

b

−

9

for  

c

−

b

2

−

(

4

⋅

2

⋅

−

9

)

=

0

−

b

2

−

(

−

72

)

=

0

−

b

2

+

72

=

0

−

b

2

+

72

−

72

=

0

−

72

−

b

2

+

0

=

−

72

−

b

2

=

−

72

−

1

⋅

−

b

2

=

−

1

⋅

−

72

b

2

=

72

√

b

2

=

±

√

72

b

=

±

√

36

⋅

2

b

=

±

√

36

√

2

b

=

±

6

√

2

Step-by-step explanation:

Solve the following inequality then select all answers in the solution set. 8y - 5 < 19

Please evaluate ​8x - 2x + 24 and 6 (1x + 4)

To ship a package, Company 1 charges $10 for the first pound and 0.45 for each additional pound. Company 2 charges $14 for the first pound and 0.30 for each additional pound.

What is the equation for "p", the number of pounds it would take for the cost of the two shipping companies to be the same?

What is the quotient of 1/3 divided by 4/5
A)15/4
B)5/12
C)4/15
D)12/5

slope and y-intercept from 2 points, I don't know if I am right, can someone plz check and if I am wrong can you plz tell me the answer

HELP FAST WILL GIVE BRAINLIEST AND 5 STARS ALSO 30 POINTS!
Select the correct answer.
Which sequence of transformations proves that shape I is similar to shape II?
A. a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
B. a reflection across the x-axis, and then a dilation by a scale factor of 3
C. a reflection across the x-axis, and then a dilation by a scale factor of 2
D. a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 3

32÷ 56 = What is the divisor?

Tom has a comic book with 85 pages. He has read 30 of the pages so far. What percentage of the book has Tom read?

Alicia paid $6 for renting a TV show season for 2 days. Which graph shows the relationship between the costs of renting a TV show season for different days?

A graph is shown with title TV Show Season Rental. The horizontal axis label is Days, and the vertical axis label is Cost of Rental in dollars. Points are plotted on the ordered pairs 1, 4 and 2, 5, and 3, 6.
A graph is shown with title TV Show Season Rental. The horizontal axis label is Days, and the vertical axis label is Cost of Rental in dollars.Points are plotted on the ordered pairs 0, 0, 3, 1 and 6, 2.
A graph is shown with title TV Show Season Rental. The horizontal axis label is Days, and the vertical axis label is Cost of Rental in dollars.Points are plotted on the ordered pairs 3, 0 and 4, 1 and 5, 2
A graph is shown with title TV Show Season Rental. The horizontal axis label is Days, and the vertical axis label is Cost of Rental in dollars.Points are plotted on the ordered pairs 0, 0, 1, 3 and 2, 6.

Use the table to answer the following question. Which of the following functions represents the sequence in the table?

I NEED HELP ASAP!! BRAINLIEST TO PROPER ANSWER
Use the figure to answer the following questions:
If the measure of angle 5 = 50 degrees, what is the measure of angles 4, 6, and 8? Explain.
Given the information from part A, what is the measure of angles 1,3, and 7? Explain.

Which property is being displayed in the equation below?
5 (p – 2) = 5p - 10
A-Commutative Property
B-Associative Property
C-Distributive Property

Are 4/8 and 24/48 equivalent ratios?

Helpppppp, also please explain it fully. If you do I'll mark brainliest
(This one has the attachment)

Katie said, "The ratio of people to pets in my family is 2 to 1. For every two people we have one pet." If her family has three pets, how many people are in the family?
4 people

6 people

2 people

3 people

Helpppppppppp there are 2 pics attached

NEED HELP ASAP! I'LL GIVE BRAINLIEST TO PROPER ANSWER WITH EXPLANATION
Line segment AB and QR are parallel. Use the figure below to answer the question


Are the triangles APB and APR similar? Explain in terms of the following:
Corresponding angles and Parallel lines cut by a transversal and AA Criterion

Nancy's new window curtain is 9 feet 2 inches long. She wants to shorten the curtain to a length of 7 feet 4 inches long. How much of the curtain must she cut away? *

Find the unit rate: 340 birds seen in 5 hours

I NEED HELP ILL GIVE BRAINLIEST PLZ HELP
Determine if each graph represents a function. Explain your reasoning.

Elena works out on a treadmill. She uses a program that combines running and walking. She knows that she runs at 0.2 miles per minute and she walks at 0.1 miles per minute. At the end of her workout, the treadmill showed her workout distance was 8 miles.

Which of the following could not represent the y-intercept of a Direct Variation graph?

A) (0,0)

B) (0,3)

C) 0

D) The origin

Convert 2 gallons to quarts.

Write a corresponding real-world word problem to represent 10x – 25 > 80.

answer quickly, will give brainliest! if you answer with random characters, you will be reported.

if the ratio number of small dogs to the number of large dogs at the animal shelter is 9 to 5, which of the following is the possible number of small dogs and large dogs at the animal shelter?
A.10 small dogs,18 large dogs
B. 18 small dogs,10 large dogs
C .15 small dogs, 32 large dogs
D. 32 small dogs,15 large dogs

Which expression is equivalent to 5j + 3j + 9j?

A. 12j
B. 32j
C. 48j
D. 17j

HELP WILL GIVE BRAINLIEST

Explain your answer pls

Please help me solve these questions.

WILL GIVE BRAINLIEST ANSWER FAST I NEED ASAP!!!!!!!!!!
Select the correct answer.
Which sequence of transformations proves that shape I is similar to shape II?
A. a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
B. a reflection across the x-axis, and then a dilation by a scale factor of 3
C. a reflection across the x-axis, and then a dilation by a scale factor of 2
D. a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 3