List the solutions to the quadratic function below. f(x)=x2-4x+5

Question

List the solutions to the quadratic function below.

 f(x)=x2-4x+5 

Answer 1

I assume that to find the solutions, this would be set equal to 0? If so, this can be solved by factoring.

0=x²-4x+5 Factor

0=(x-5)(x+1) Set each factor equal to zero and solve

x-5=0 add 5 to both sides

x=5

x+1=0 subtract 1 from both sides

x=-1