Answer:I'm guessing there's a simpler solution, but let's give it a shot.
Step-by-step explanation:
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:
The solution is:
Part A. which is sqrt(5)^7k/3[/tex]
Part B. k = 18/7
Step-by-step explanation:
Part A.
To solve this part, we're going two use THREE important properties of exponents:
1.
2.
3.
Let's work the numerator using the properties 1, 2 and 3:
Let's work the denominator using the properties 1, 2 and 3:
Now dividing the numerator by the denominator:
Part B
if
Then:
So
Solving for k, we have:
k = 18/7
Answer:
I use app called math
way
Step-by-step explanation:
Answer:They should use the $3 off
Step-by-step explanation:
10% of 25 = 2.5
25-2.5 = 22.5 (price after using coupon)
$3 off of 25= 25-3
= 22
therefore, if they use the $3 off, they will spend less