Answer = 6
Explanation:
I'm guessing there's a simpler solution, but let's give it a shot.
The two roots are provided by using the quadratic equation:
x = [-b ± √(b2 - 4ac)] / (2a)
For x2 - 10x + q = 0
a = 1
b = -10
c = q
Substituting these values in:
x = [-b ± √(b2 - 4ac)] / (2a)
= [-(-10) ± √((-10)2 - 4(1)(q))] / (2(1))
= [10 ± √(100 - 4q)] / 2
= 0.5 [10 ± √(100 - 4q)]
The first root, x1
x1 = 0.5 [10 + √(100 - 4q)]
= 5 + 0.5√(100 - 4q)
The second root, x2
x2 = 0.5 [10 - √(100 - 4q)]
= 5 - 0.5√(100 - 4q)
The difference in the roots is 6.
6 = x1 - x2
= [5 + 0.5√(100 - 4q)] - [5 - 0.5√(100 - 4q)]
= 5 + 0.5√(100 - 4q) - 5 + 0.5√(100 - 4q)
6 = √(100 - 4q)
(6)2 = [√(100 - 4q)]2
36 = 100 - 4q
-64 = -4q
q = 16
Do a little more work to determine the roots.
x2 - 10x + q = 0
x2 - 10x + 16 = 0
(x - 8)(x - 2) = 0
x = {2, 8}
8 - 2 = 6
Answer:
-6 on edge
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
1. Conan needs 4 hours to rehearse and host a good show. Andy needs 10 hours to do the same. So, Cohan needs 6 hours less than Andy to rehearse and host a good show. This means Cohan has an absolute advantage in the production of show hosting.
2. Conan writes one usable joke in an hour, Andy needs 2 hours to do the same. So, Cohan has an absolute advantage in the production of joke writing.
Thus, Cohan has an absolute advantage in the production of both show hosting and joke writing.
Correct option is option C.
Answer: Yeah its a rational number.
5/10x10/3
Simplifies to:
1/2x10/3
this equals to
10/6 which simplifies to 5/3
5/3 is your answer