Question

How do you solve `x^2-4x+5=0` by completing the square?

Answer 1

No solutions.

Explanation:

`x^2-4x=-5`

`(x-2)^2-4=-5`

`(x-2)^2=-1`

`(x-2)=pmsqrt(-1)`

cannot do the square root of a negative number so no solutions