Complete the square x^2-5y^2-2x+20y=44
To complete the square for the expression x^2 - 5y^2 - 2x + 20y = 44, we need to rearrange the terms and group them accordingly:
x^2 - 2x - 5y^2 + 20y = 44
(x^2 - 2x) - 5(y^2 - 4y) = 44
(x^2 - 2x + 1) - 5(y^2 - 4y + 4) = 44 + 5(4)
(x - 1)^2 - 5(y - 2)^2 = 64
Therefore, the completed square expression for x^2 - 5y^2 - 2x + 20y = 44 is (x - 1)^2 - 5(y - 2)^2 = 64.