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
If log, 5 = 0.41, find log, 125.
Lubov Fominskaja [6]

Answer:

1

Step-by-step explanation:

do u add

5 0
3 years ago
Which of the following polynomials contain like terms
Nat2105 [25]
The first one has 2 like terms one is -4 and the other is * the 2nd question does have a like term z2 and z3 question 4 has 1 like term y3 and the last question has 4 like terms every number is a like term of each other
3 0
3 years ago
The sum of three consecutive odd integers is 57 what are the three integers
Paha777 [63]

Answer:

17,19,21

Step-by-step explanation:

hope this helps

\

8 0
3 years ago
Recommend me some book for International maths olympiad. :) ​
adoni [48]

Answer:

brainly

Step-by-step explanation:

brainly blablablablablab

4 0
4 years ago
If 500x =500 then x equals?
vivado [14]
It’s equals x=1 hope that helps
6 0
4 years ago
Read 2 more answers
Other questions:
  • In 15 the perimeter of the figure Is given. find the length of the indicated side
    11·2 answers
  • A toy rocket is shot vertically into the air from a launching pad 5 feel above the ground with an initial velocity of 80 feet pe
    11·2 answers
  • What is the angle for AWD
    7·1 answer
  • When Jonas does his math homework, he spends an average of 4 minutes on each problem. Last night he spent 1.8 hours on his non-m
    9·1 answer
  • Find the distance between points M and N.<br>M= (3,-2)<br>N= (5,-6)​
    12·1 answer
  • Solve: Tan20. Tan 40. Tan 80<br><br>plaease help me.....​
    10·1 answer
  • Element X is a radioactive isotope such that every 12 years, its mass decreases by half.
    7·1 answer
  • What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?
    13·1 answer
  • 2:7 = BLANK :21 BRAINLIEST
    13·2 answers
  • Use mental math to find the sum.<br> 28 + 65
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!