Given that 12 < m < 60, and the equation x ^ 2-2 (M + 1) x + m ^ 2 = 0 about X has two positive tree roots, find the value of integer m, and find the two integer roots of the equation It is known that 12 < m < 60, and the equation x ^ 2-2 (M + 1) x + m ^ 2 = 0 about X has two integer roots. Find the value of integer m, and find the two integer roots of the equation (I'm sorry, I wrote the wrong question to correct it.)

Given that 12 < m < 60, and the equation x ^ 2-2 (M + 1) x + m ^ 2 = 0 about X has two positive tree roots, find the value of integer m, and find the two integer roots of the equation It is known that 12 < m < 60, and the equation x ^ 2-2 (M + 1) x + m ^ 2 = 0 about X has two integer roots. Find the value of integer m, and find the two integer roots of the equation (I'm sorry, I wrote the wrong question to correct it.)

Description of two integer roots
X = (M + 1) ± root (M + 2)
Discriminant = 4 (M + 1) ^ 2-4m ^ 2 = 8m + 4 = 4 (M + 2)
So m + 2 is a perfect square
So m = 14,23,34,47

If m n is a positive integer and m power of 3 × n power of 3 = 81, then how many groups of values of M, n may exist?

Solution
3^m×3^n=81
3^(m+n)=3^4
∴m+n=4
∵ m, n is a positive integer
∴m=4-n>0
∴0

m. N is a known positive integer, the monomial (...)
m. N is a known positive integer, and the monomial (n-2m) x ^ n-1 × y ^ M-1 is a quintic monomial. When x = - 1, y = 1, find the value of the monomial

n-1+m-1=5
n=5 m=2
n=4 m=3.
There seem to be a lot of answers