1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sidana [21]
3 years ago
11

A quadratic equation is shown below:

Mathematics
1 answer:
Valentin [98]3 years ago
4 0
Part A)

The given equation is:

25 x^{2} +10x+1=0

The radicand or discriminant(d) of the equation will be:

d=(10)^{2}-4(25)(1) \\  \\ 
d=100-100 \\  \\ 
d=0

Since the discriminant is equal to 0, the given quadratic equation has only 1 root. In other words we can say the the given equation is a perfect square. 


Part B)

The given equation is:

4 x^{2} -4x+1=0

We can solve this expression by factorization. Factors of middle term are to be made in such a way that their product equals the product of first and third term and sum is equal to the middle term i.e. product should be 4x² and sum should be -4x.
So the two such terms are -2x and -2x. Using the factors and simplifying the equation by taking common we get:

4 x^{2} -2x-2x+1=0 \\  \\ 
2x(2x-1)-1(2x-1)=0 \\  \\ 
(2x-1)(2x-1)=0 \\  \\ 
(2x-1) ^{2}=0 \\  \\ 
2x-1=0  \\  \\ 
x= \frac{1}{2}
You might be interested in
PLEASE HELP ME!! (50 COINS) (i rlly need help so im giving coins away PLEASE ANSWER IMMEDIATELY!!!)
Archy [21]

Hello from MrBillDoesMath!

Answer:

4( x + 1.5)^2 + 0  

Discussion:

4x^2 + 12x + 9 =                => factor "4" from first 2 terms

4 (x^2 + 3x) + 9 =               => complete the square, add\subtract (1.5)^2

4(x^2 + 3x + (1.5)^2)  - 4 (1.5)^2 + 9  =

4 ( x + 1.5)^2 + ( 9 - 4(1.5)^2) =           => as (1.5)^2 = 2.25

4 ( x + 1.5)^2 + ( 9 - 4(2.25)) =        => as 4 ( 2.25) = 9

4 ( x+ 1.5)^2 + 0


Thank you,

MrB

5 0
3 years ago
I'LL GIVE BRAINLIEST:
vitfil [10]

Answer:

its C

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which number(s) below belong to the solution set of the equation? Check all
Stells [14]

Answer:

11

Step-by-step explanation:

198 ÷ 18 = 11

x = 11

......

4 0
3 years ago
Rewrite in standard form identify the degree of the polynomial and the number of terms
Alenkasestr [34]

Standard Form: ax² + bx + c = y

Basically, you put all the numbers from greatest to least with exponents then variables.

We have the numbers:

9

-x²

2x^5

-7x

Put these numbers from least to greatest from the exponents.

2x^5 - x² - 7x + 9

The degree of the polynomial is the number with the greatest exponent. In this case, the highest exponent is 5.

The degree of the polynomial is 5.

Best of Luck!

7 0
3 years ago
A function follows the rule y = -75 - 5 x . When the function's output is 25, the equation is 25 = -75 - 5 x .
Alex787 [66]

Answer:

The function's input = x = -20

Step-by-step explanation:

Given the function

y = -75 - 5x

Given that the output = y = 25

substituting the value y=25 and solve to find the input 'x'

25 = -75 - 5x

5x = -75-25

5x = -100

Divide bothe side by 5

x = -20

Thus, the function's input = x = -20

5 0
3 years ago
Other questions:
  • In the last two weeks of a sale, prices are reduced first by 30% and then by a further 40% of the new price . What is the final
    7·1 answer
  • Write a numerical expression to match the word expression. four less than one-fourth of the product of ten thirds and six ✓ ✗ (
    11·1 answer
  • Sydney plans on going bowling with friends. It cost $4 to rent shoes plus $3 per game. He wants to spend at most $30. Create an
    11·1 answer
  • Answer and WORK.
    8·1 answer
  • 32 15' 66" is the same as _____. Round to the nearest hundredth of a degree. Answer:
    7·2 answers
  • Omggg plzzz helpp this shiiii hard!!!
    14·2 answers
  • During a certain 9-year period, the Consumer Price Index (CPI) decreased by
    6·1 answer
  • Determine the equation of the line. (slope intercept form)
    15·1 answer
  • Can someone help me with Question 1 Please? I forgot how to do it- Also, No links please!​
    8·2 answers
  • Dr. King was born in Atlanta, Georgia. What is the distance in miles from Washington, DCto Atlanta, Georgia?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!