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
Katarina [22]
3 years ago
10

The difference between the roots of the quadratic equation x^2−14x+q=0 is 6. Find q.

Mathematics
2 answers:
erastovalidia [21]3 years ago
8 0

Answer:

The value of q is 40

Step-by-step explanation:

Let one root = a

other root = b

x²-14x+q = (x-a)(x-b)

= x²-bx-ax+ab

= x²-(a+b)x+ab

Comparing the

coefficient

a + b = 14 ----(1)

ab = q -----(2)

a - b = 6 ------(3)

(1)-(3)

2b = 8

b = 4

sub b=4 into(1)

a + 4 = 14

a = 10

sub a=10,b=4 into(2)

ab = q

q = 10×4

= 40

lara31 [8.8K]3 years ago
7 0

Answer:

q=-1128/169

Step-by-step explanation:

x²n-14x+q=0 here a=1, b= -14, c=q

let the roots of the equation beα and β

then the sum of the roots= S= α+β= -b/a=-(-14)/1=14

α+β=14 ⇒β=14-α--------(i)

product of the roots=P= αβ= c/a= q/1=q------(ii)

since α-β=6--------(given)----(iiI)

put the values of β from equation i to equation iii

α-14α=6

-13α=6

α=-6/13

put the values of α and β in eq. (ii)

αβ=q=(-6/13)(14-(-6/13)

q=(-6/13)(182+6/13)

q=(-6/13)188/13

q=-1128/169

You might be interested in
Which statements about the figure must be true? Check all that apply. Point B is the midpoint of .
Dominik [7]
Where are the answer choices?
7 0
3 years ago
Question <br> 7 - (-3)=<br> PLEASE HELP ME!!!
Roman55 [17]

Answer:

10

Step-by-step explanation:

7-(-3)

=7+3

=10

Hope this is helpful

7 0
2 years ago
Read 2 more answers
An NBC News/Wall Street Journal poll conducted in 2010 predicted that 61% of Americans did not support the Tea Party movement. I
fomenos

Answer:

The right answer is:

The poll provides strong evidence that more than 61% of Americans oppose the Tea Party movement this year. Why? The P-value (0.026) is less than the significance level of 5%.

Step-by-step explanation:

At a level of significance of 5%, a P-value of 0.026 (2.6%) means that the difference is significant and the null hypothesis is rejected.

The difference between the proportions is significant, what means that more than 61% of Americans oppose the Tea Party movement this year.

Note: The difference in the sample proportions (3%) is not enough to claim that the difference is significant.

The right answer is:

The poll provides strong evidence that more than 61% of Americans oppose the Tea Party movement this year. Why? The P-value (0.026) is less than the significance level of 5%.

5 0
3 years ago
What is the value of 12C4? <br> A. 3 <br> B. 48 <br> C. 495 <br> D. 11,880
mars1129 [50]
The answer to this is C
8 0
3 years ago
Read 2 more answers
A plane leaves at 11:22 am .and arrived at 3:13 pm. how long was the flight?
ale4655 [162]

Answer:

3 hours and 51 minutes

Step-by-step explanation:

Take the ending time and subtract the start time

3:13pm - 11:22am

Remember that pm means aft 12 o'clock in the after noon so add 12 hours

12+3:13 - 11:22

15:13 - 11:22

We are subtracting more minutes than we have so we have to borrow from the hours

1 hour = 60 minutes

14 : 60+13 - 11:22

14:73 - 11:22

3: 51

3 hours and 51 minutes

7 0
3 years ago
Other questions:
  • The spending habit that will lead too the worst financial situation is to?
    15·1 answer
  • I NEED HELP PLEASE!!!!!
    7·1 answer
  • (2,5) and (3/2 ,2) find the slope of the line passing through the points.
    13·1 answer
  • What is 1/9 of a triangle area of 105
    7·1 answer
  • Q.16 - Please Help, I will give Brainliest!!!!
    6·2 answers
  • Find the solution to the system of equations by using the substitution method<br> Y=4x+1<br> Y=x+1
    14·1 answer
  • You spin a spinner and pick a card. How many outcomes are possible?
    10·2 answers
  • Christine drove 260 miles using 12 gallons of gas. At this rate, how many gallons of gas would she need to drive 286 miles?
    15·2 answers
  • Please help i've been doing this ages
    9·1 answer
  • What is the slope of the line.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!