Question

Solve the equation by completing the square.

x^2−12x+35=0
After completing the square, the equation is _____, and the solution is x=5,x=7

Answer 1

x:5,x:7

x^2-12x+35

x^2-12x=-35

x^2-12x+6^2=-35+36

(x+6)^2=1

insert a radical anywhere

x+6=1

x=1-6

x=-5. x=5

x=-1-6

x=-7. x=7