(x - 1)2 - 4(X + 1) + 2 = 0
2x - 2 - 4x - 4 + 2 = 0
(2x - 4x) - 4 = 0
-2x = 4
x = 4/-2
x = -2
Answer:
Step-by-step explanation:
cos (x/2)=cos x+1
cos (x/2)=2cos ²(x/2)
2 cos²(x/2)-cos (x/2)=0
cos (x/2)[2 cos (x/2)-1]=0
cos (x/2)=0=cos π/2,cos (3π/2)=cos (2nπ+π/2),cos(2nπ+3π/2)
x/2=2nπ+π/2,2nπ+3π/2
x=4nπ+π,4nπ+3π
n=0,1,2,...
x=π,3π
or x=180°,540°,...
180°∈[0,360]
so x=180°
or
2cos(x/2)-1=0
cos (x/2)=1/2=cos60,cos (360-60)=cos 60,cos 300=cos (360n+60),cos (360n+300)
x/2=360n+60,360n+300
x=720n+120,720n+300
n=0,1,2,...
x=120,300,840,1020,...
only 120° and 300° ∈[0,360°]
Hence x=120°,180°,300°
I believe it is 4 to make it able to divide by both sides
Answer:
7 cookies
Step-by-step explanation:
We have 3 brothers
First , Second, Third
Let the total number cookies be represented by A
1 cookie = 1
Working backwards, we start from the third brother
If we work backwards
It means he gave everything away
We start from the youngest
He was given 1/2 of what was left and 1/2 a cookie
This means,
1/2 + 1/2 = 1
The second brother
He got half of what is left and 1/2 a cookies
Half of what is left from brother
= What the youngest brother got + 1/2 + 1/2 a cookie
= 1 + 1/2 + 1/2
= 1.5 + 1/2
= 2 cookies
For the first brother
He got 1/2 of the cookies + 1/2 cookie
= 1.5 × 2 + 1/2 + 1/2 cookies
= 3 1/2 + 1/2
= 4 cookies
The first brother got 4 cookies
The second brother got 2 cookies
The third broth got 1 cookies
Answer:
The amount which she borrow as house loan is $ 48514.56
Step-by-step explanation:
Given as :
The house loan per month afford by Kylie = $1310
The period of loan = 25 Years
The annual rate compounded monthly = 8.4%
Principal = $ P
∵ The per month loan afford amount = $1310
So, The amount afford in 25 years = $1310 × 25 × 12
Or, The amount afford in 25 years = $393,000
<u>Now, from compounded method</u> :
Amount = Principal × 
Or, $393,000 = $ P × 
Or, $393,000 = $ P × 
Or, $393,000 = $ P × 
∴ P = $ 48514.56
Hence The amount which she borrow as house loan is $ 48514.56 Answer
