0
If the equation x2 minus ax plus 2b equals 0 has prime roots where a and b are positive integers then a minus b is equal to?
I think you mean the roots are prime numbers.
Let the two roots be primes p and q
Then the equation factorises to (x - p)(x - q) = 0 which can be expanded to give:
x² - (p + q)x + pq = 0
Which comparing coefficients of the original gives:
a = p + q
2b = pq
as b is an integer, pq must be even,
→ at least one of p or q must be even
→ as they are both primes and at least one is even, it MUST be 2 as 2 is the ONLY even prime
Assume p is an even prime, ie p = 2
→ a = 2 + q
2b = 2q → b = q
→ a - b = (2 + q) - q = 2
(It doesn't matter if the other prime is even (2) or not as it cancels out from a - b.)
What else can I help you with?
Does a negative plus a positive equal a positive?
No it equals negative. (-)+(+)=(-)
Is a positive plus a positive equal a negative?
No, it equals a positive. (+)+(+)=(+)
What does a positive times a postive equal?
a positive a negative times a negative also equals a positive
Does an equation have to have an equal sign to be an equation?
Yes, it does. An equation is something that equates something to something else, by means of the 'equals' sign.
What does x equal in the equation x equals -x?
x=0
How many positive integers equal 9?
1. The only positive integer that equals 9 is 9.
Do the sum of 2 positive integers equal zero?
The sum of two positive integers can never equal zero.
Are the sum of two negative integers positive?
No. Two negative integers added together will never equal a positive integer. It is the product of two negative integers that is positive.
What is the sum of the first 40 even positive integers?
The sum of the first 40 even positive integers can be equal to 820.
What does -8 x -4 equal?
-4
How do you multyply integers?
when you have a negative times a negative it will equal a positive but when you have a negative times a positive it will equal a negative no matter what!
When adding integers does a negative and a negative equal a positive?
No, that is not true.
What is b and a if both are positive integers but a does not equal b?
Then they are, simply, two different integers. Any two positive integers will do, according to the specification.Then they are, simply, two different integers. Any two positive integers will do, according to the specification.Then they are, simply, two different integers. Any two positive integers will do, according to the specification.Then they are, simply, two different integers. Any two positive integers will do, according to the specification.
What is positive minus negative equal to?
it equals a positive.
Do two negative integers equal a positive?
Only when you divide or multiply.
What integers equal positive 4?
2+2/-2+4
Does a negative plus a positive equal a positive?
No it equals negative. (-)+(+)=(-)
