No matter what values X and Y take, the value of the algebraic formula x minus 4x plus y plus 6x plus 14 is always positive. Please find out the minimum value of this algebraic formula when x and y are of any value?

No matter what values X and Y take, the value of the algebraic formula x minus 4x plus y plus 6x plus 14 is always positive. Please find out the minimum value of this algebraic formula when x and y are of any value?

x^2+y^2+4x-6y+14=x^2+4x+y^2-6y+14=(x+2)^2+(y-3)^2+1,
Regardless of the value of X and y, (x + 2) ^ 2 > = 0, (Y-3) ^ 2 > = 0, (x + 2) ^ 2 + (Y-3) ^ 2 > = 0, (x + 2) ^ 2 + (Y-3) ^ 2 + 1 > = 1 > 0
x^2+y^2+4x-6y+14>0