Question

Solve the following quadratic by
completing the square.
y = x2 - 6x +2

Answer 1

Answer:
`3 \pm √(7)`

Explanation:

`1) \text{ } x^(2)-6x+2=0\\\\2) \text{ } x^(2)-6x=-2\\\\3) \text{ } x^(2)-6x+\left((-6)/(2) \right)^(2)=-2+\left((-6)/(2) \right)^(2)=7\\\\4) \text{ } (x-3)^(2)=7\\\\5) \text{ } x-3 =\pm √(7) \longrightarrow \boxed{3 \pm √(7)}`