Given that the equation (m-2) x ^| M-1 | + (n + 3) y ^ (n-8) = 6 is a quadratic equation of two variables, find the value of M and n It's a process

Given that the equation (m-2) x ^| M-1 | + (n + 3) y ^ (n-8) = 6 is a quadratic equation of two variables, find the value of M and n It's a process


(m-2) x ^| M-1 | + (n + 3) y ^ (n-8) = 6 is a quadratic equation of two variables
m-2≠0
|m-1|=1
n+3≠0
n-8=1
m=0
n=9



If the equation (M + 1) x | m | + (n − 1) YN2 = − 3 is a bivariate linear equation about X and y, find the value of M + n


According to the meaning of the question, | m | = 1m + 1 ≠ 0n2 = 1n − 1 ≠ 0, the solution is: M = 1n = − 1. Then M + n = 1-1 = 0



If x2 + MX-15 = (x + 3) (x + n), then M=______ ,n=______ .


∵ (x + 3) (x + n) = x2 + (3 + n) x + 3N, ∵ x2 + MX-15 = x2 + (3 + n) x + 3N, ∵ M = 3 + N, 3N = - 15, the solution is m = - 2, n = - 5. So the answer is - 2, - 5