Hey there!
No numbers go into a prime number other than one and that number. 9 and 7 go into 63, so it’s not 63. 3 and 17 go into 51, so it’s not 51. 19 and 3 go into 57, so it’s not 57. That leaves 61. Nothing goes into this other than one and 61, so the answer is 61.
I hope this helps!
Recall Euler's theorem: if
, then

where
is Euler's totient function.
We have
- in fact,
for any
since
and
share no common divisors - as well as
.
Now,

where the
are positive integer coefficients from the binomial expansion. By Euler's theorem,

so that

Answer:
x = - 3 ± 
Step-by-step explanation:
Given
4x² + 24x = 4 ( divide through by 4 )
x² + 6x = 1
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 1 + 9
(x + 3)² = 10 ( take the square root of both sides )
x + 3 = ±
( subtract 3 from both sides )
x = - 3 ± 
Answer:
minimum 380 student tickets must be sold.
Step-by-step explanation:
c) 500x7=3500
intended =5400
5400-3500=1900
1900/5= 380
Answer:
8/15
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