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
Is x+y is an algebraic expression?
Elan Coil [88]

Step-by-step explanation:

Yes because it consists of letters

3 0
2 years ago
Read 2 more answers
Please help out thanks :) ​
Mkey [24]
The correct answer is D The last one


Step by step is below

Hopefully this help you


Have a great day :)

3 0
3 years ago
Write the percent as a fraction in simplest form<br><br> 16.24%
Alja [10]
16 24/100 or 16 6/25
3 0
3 years ago
Which of the following lists does not include all the factors of the number?
Sever21 [200]
The Answer is 21 because 7 and 3 can go in it as well
4 0
3 years ago
Please help!<br><br> i need to know the correct answer(s) ! <br><br> thanks
Fofino [41]
The answer is C and D
7 0
2 years ago
Read 2 more answers
Other questions:
  • a necklace is being made with beads that are 1.25 centimeters in a diameter each. The necklace us 30 centimeters long. How many
    7·1 answer
  • -4 2/3= 2n/3 + 1/3 + n/3 <br> solve for n<br> multi step equation
    5·1 answer
  • Pretty please for a homie
    13·1 answer
  • Need help on attached problem
    6·1 answer
  • Dx+hy=j   what does x=
    13·2 answers
  • What is a equation has a solution of 7
    15·2 answers
  • I need 3 numbers multiplied to equal 65
    10·1 answer
  • The sum of (-12) and (5) is<br><br> (A) 6 (B) 8 (C) -7
    15·2 answers
  • Which number lies halfway between:<br>a) 16 and 38<br>b) 259 and 361<br>1004 and 2 012?<br>​
    14·1 answer
  • What is the domain of the function graphed below?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!