Question

Solve the following quadratic by completing the square. y = x2 - 6x + 7

Answer 1

Answer:

x = 5  or   x = 1

Step-by-step explanation:

 x² - 6x + 7 = 0

x² - 6x = -7

x² - 6x + 9 = -7 + 9      1/2 of the x term than square it and add it the both sides.

(x - 3)(x - 3) = 2

( x -3)² = 2

$\sqrt{(x - 3)^2$ = $\sqrt{2}$

(x -  3) = ± 2

x - 3 = 2  or  x - 3 = -2

x = 5     or  x = 1