The value of q is 40
Step-by-step explanation:
In the quadratic equation ax² - bx + c = 0, where
- a = 1
- b is the sum of its two roots
- c is the product of its two roots
Assume that the roots of the quadratic equations are x and y
∵ The quadratic equation is x² - 14x + q = 0
∴ a = 1 , b = 14 and c = q
∵ b is the sum of its two roots
∵ Its roots are x and y
∴ x + y = 14 ⇒ (1)
∵ The difference between the roots is 6
∴ x - y = 6 ⇒ (2)
Now we have a system of equation to solve it
Add equations (1) and (2)
∴ 2x = 20
- Divide both sides by 2
∴ x = 10
Substitute the value of x in equation (1) or (2) to find y
∵ 10 + y = 14
- Subtract 10 from both sides
∴ y = 4
∵ c is the product of the two roots
∴ c = 10 × 4 = 40
∵ c = q
∴ q = 40
The value of q is 40
Learn more:
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Answer:
$-21
Step-by-step explanation:
Since she is paying $6 for 4 weeks, in total she will pay:
6 x 4 = $24
She has an initial balance of $-45 Because she is in debt
Therefore you just need to add it all up
-45 + 24 = $-21
Distance = rate*time
Let v be speed of person walking.
6t + vt = 51
vt = 7
Solve for t:
6t + 7 = 51
t = 44/6 = 22/3
Sub in to find v:
v(22/3) = 7
v = 21/22
The speed a person walks is 21/22 ft/sec
Answer:
Step-by-step explanation:
145 = 2x + 15
2x = 130
x = 65 (ANS)