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arun8408
 one year ago
Best ResponseYou've already chosen the best response.0or roots to be positive D>0 i.e. b^2  4ac >0 D=b^2  4ac = (146)^2  (4*2*c)>0 =>21316  8c>0 =>8c<21316 => c<5329/2 is dis the ans??

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.4use the sum of roots and product of roots formulae.

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.4\[\dfrac{146}{2} = \alpha + \beta\]and\[\dfrac{c}{a} = \alpha \beta\]where \(\alpha\), \(\beta\) are the required prime roots.

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.4Know any two prime numbers with sum \(73\)?

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.4I meant\[\dfrac{(146)}{2} = \alpha + \beta\]

arun8408
 one year ago
Best ResponseYou've already chosen the best response.0but 2 prime number tat makes 73??

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.4Yeah, do you know any two such prime numbers with sum 73?

klimenkov
 one year ago
Best ResponseYou've already chosen the best response.2If one of this primes is odd, the second must be even, because \(\alpha +\beta=73\). But how many even primes do you know?

Azteck
 one year ago
Best ResponseYou've already chosen the best response.0Start from the very first prime number and work your way through. That's a hint for you.

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.4There is only one even prime number.

Azteck
 one year ago
Best ResponseYou've already chosen the best response.0I stress on the word "first" in that statement.

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.4And of course, when you subtract the even prime, you will get another prime.

klimenkov
 one year ago
Best ResponseYou've already chosen the best response.2@ParthKohli 17  prime. 2  even prime. If I subtract 17  2 = 15  I will get not prime.

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.4No, in this case you must!

saloniiigupta95
 one year ago
Best ResponseYou've already chosen the best response.0This case is NOT having such a situation though :)

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.4This question would have no answer if you would not get another prime number after subtracting 2.

klimenkov
 one year ago
Best ResponseYou've already chosen the best response.2Nobody guarantees you that this must have an answer.

saloniiigupta95
 one year ago
Best ResponseYou've already chosen the best response.0Hey this is a problem of the present week's Brilliant Challenges... Shouldn't be discussed here actually... Between, Awesome site for maths lovers... https://brilliant.org/
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