Solve by completing the square x2-7x+10=0

Answer 1

x^2 - 7x + 10 = 0
x^2 - 7x = -10
x^2 - 7x + (7/2)^2 = -10 + (7/2)^2
(x - 7/2)^2 = (-40+49)/4 = 9/4
x - 7/2 = ±3/2
x = (7±3)/2
x = 2 or 5
check: x^2-7x+10 = (x-2)(x-5)