Question

已知x^2-6xy+9y^2-2/3x+9/2y+m/2是完全平方式.求m

Answer 1

x^2-6xy+9y^2-3/2x+9/2y+m/2

=(x-3y)^2-3/2(x-3y)+m/2

是完全平方式,那么有:

m/2=[(-3/2)/2]^2=9/16

所以,m=9/8