Roots of prime number

2007-09-05 10:42 pm
Each root of the quadratic equation x^2 - 63x + n = 0 is a prime number. How many possible values of n are there?
更新1:

The answer can choose is (a) 0, (b) 1, (c) 2, (d) 4, (e) more than 4 It's mean how many n values can suitable for the equation

回答 (1)

2007-09-06 4:22 am
✔ 最佳答案
let the roots be a & b
a+b=63 ab=n
given a & b are both prime
since all prime no are odd except 2
a & b must be 2 & 61 (odd + odd = even, odd + even = odd)
therefore n=122


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