Question

solve x^2-10x=1575 by completing the square.

Answer 1

x^2-10x=1575
add 25 to each sides
x^2-10x+25=1600
(x-5)^2=1600
(x-5)^2=40^2
x=45 or x=-35

Answer 2

first move 1575 to the left hand side
x^2-10x-1575=0
next complete the square so we have
(x-5)^2 -25 - 1575 = 0
(x-5)^2 - 1600 = 0