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
lutik1710 [3]
3 years ago
5

The difference between the roots of the equation 2x2−5x+c=0 is 0.25. Find c.

Mathematics
1 answer:
vredina [299]3 years ago
7 0

Answer:

c = 3.09375

Step-by-step explanation:

let the roots be α  and β

2x2−5x+c=0

Comparing withe the standard equation ax² + bx + c = 0

a=2   b = -5   and  c=c

sum : α + β = \frac{-b}{a}

product : αβ  =  \frac{c}{a}

α + β = \frac{--5}{2}  = \frac{5}{2}   = 2.5 -------------------------------------(1)

αβ = \frac{c}{2}   -----------------------------------------------------------(2)

the question says "the difference between the roots of the equation is  0.25"

so, α -β = 0.25 ---------------------------------------------------(3)

we can use equation (1)  and equation (3) to find the values of our  α  and β by solving simultaneously

add equation  (1)   and equation (3)  

2 α  = 2.75

α = 2.75 /2  = 1.375

subtract equation (3)   from equation (1)

2β = 2.25

β = 2.25 /2 = 1.125

we can now use equation (2) to find the value of c

αβ = \frac{c}{2}

1.375 × 1.125  =  \frac{c}{2}

1.546875 =  \frac{c}{2}

multiply both-side of the equation by 2

1.546875 × 2 = c

3.09375 = c

c = 3.09375

You might be interested in
Item 15 Fill in the blank so that the ordered pair is a solution of y=12x+2. ( , 14)
maxonik [38]

Answer:

(1, 14)

Step-by-step explanation:

If you substitute the 14 in;

14 = 12x+2

-2          -2

12 = 12x

/12     /12

1 = x

7 0
2 years ago
Pls help and explain I will mark brainlist !! :))
Darya [45]

Answer:

I think the answer is D!

Step-by-step explanation:

7 0
3 years ago
What is his help me please
Gennadij [26K]
The answer would be b pretty sure
8 0
2 years ago
What (fog)(-3) is? Thank you for the help!
Verizon [17]
F(g(x))=7g(x)+4

f(g(-3)=7 V(-3+4) + 4= 7*1+4=7+4=11


the answer is 11
5 0
3 years ago
Mike's scores on 5 quizzes he took are shown above. In which month was Mike's quiz score equal to the average of his 5 quizzes?
Mariana [72]

Answer:

Oct.

Step-by-step explanation:

average = (72 + 83 + 95 + 77 + 88)/5 = 83

4 0
3 years ago
Other questions:
  • Margo traveled 528.8 miles on her trip. Write a statement that compares the values of
    10·1 answer
  • What is ( 5+2) + 3 = 5 + (2+3)
    9·2 answers
  • A box contains 10 cups of pancake mix. You use 23 cup each time you make pancakes. How many times can you make pancakes?
    5·1 answer
  • Complete equation so that the solution is -2 X/2=-2
    13·1 answer
  • John is selling his pizza for $6 per slice in an area of high demand. However, customers are not buying his pizza.
    9·2 answers
  • amrya has sixty hundredths of a dollar.how much money does amrya have written as a fraction in simplest form?
    12·2 answers
  • What are the solutions to the quadratic equation 4(x + 2)2 = 36
    6·2 answers
  • Ratios that are equivalent to 40:28
    15·1 answer
  • If 2 is one root of the equation 4x3 + kx - 24 = 0, then the value of k is
    13·1 answer
  • What is the total number of possible four-card poker hands if the hand contains exactly one heart?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!