Answer:
Γ = 15
Step-by-step explanation:
Given
f(x) = x² - 8x + Γ
with a = 1, b = - 8 and c = Γ , then
sum of zeros α + β = - 
= - 
= 8
product of zeros = αβ = 
= Γ
Given α - β = 2 , then
(α - β)² = 2²
α² - 2αβ + β² = 4 → (1)
and
(α + β)² = 8²
α² + 2αβ + β² = 64 → (2)
Add (1) and (2) term by term
2α² + 2β² = 68 ( divide through by 2 )
α² +β² = 34
Substitute α² + β² = 34 into (1)
34 - 2αβ = 4 ( subtract 34 from both sides )
- 2αβ = - 30 ( divide both sides by - 2 )
αβ = 15
Now
αβ = Γ = 15
Thus
f(x) = x² - 8x + 15
3x²-8x+4=0
(3x-2) (x-2)=0
x=2/3 , x = 2
Hence, the polynomial has two positive roots.
Option A is the correct choice.
87% of 73 is about 63.51 and 73% of 87 is 60.59 so 87% of 73 is greater
Given is triangle with base = 10 cm and perpendicular height = 3 cm.
We know the formula for area of triangle is given by :-
Area = 
× (Base) × (perpendicular height)
Area = × (10) × (3)
Area = 
Area = 15 cm²
So, final answer is 15 cm².
Answer:
A
Step-by-step explanation:
account balance on compound interest = principal amount (1+rate/100)^time
here there are t years so toat months are 12t and ad interest is after each 4 months so time is 12t/4 =3t
now total balance = 3545(1.045)^3t
here 3545 is principal amount , rate is( 1.045-1)×100 =4.5% per 4 months and 3t is time so clearly 3t or 3 is a growth factor hence option A
