MATHS QUESTION
ONLY FOR JISHNU
ANSWER DONT GIVE PLZZZZ☺️
Answers
Answer:
5 and 3
Step-by-step explanation:
p + q = ( p - q )³
Let p - q be k
So p + q = k + 2 q
So this means that we have :
k + 2 q = k³
= > k³ - k = 2 q
= > k ( k² - 1 ) = 2 q
= > k ( k + 1 )( k - 1 ) = 2 q
q is a prime with only 2 factors .
q will therefore have q and 1 has factors .
This means that we can group the data so that :
k - 1 = 1
= > k = 2
k + 1 = q
= > q = 2 + 1 = 3
Hence p - q = 2
= > p - 3 = 2
= > p = 2 + 3 = 5
There are only two possible primes : 5 and 3.
Step-by-step explanation:
Answer:
5 and 3
Step-by-step explanation:
p + q = ( p - q )³
Let p - q be k
So p + q = k + 2 q
So this means that we have :
k + 2 q = k³
= > k³ - k = 2 q
= > k ( k² - 1 ) = 2 q
= > k ( k + 1 )( k - 1 ) = 2 q
q is a prime with only 2 factors .
q will therefore have q and 1 has factors .
This means that we can group the data so that :
k - 1 = 1
= > k = 2
k + 1 = q
= > q = 2 + 1 = 3
Hence p - q = 2
= > p - 3 = 2
= > p = 2 + 3 = 5
There are only two possible primes : 5 and 3.