Question

Place the following steps in order to complete the square and solve the quadratic equation,

Answer 1

Answer:

See explanation

Step-by-step explanation:

Given the equation

$x^2-6x+7=0$

Step 1: Add -7:

$x^2-6x=-7$

Step 2: Add 9:

$x^2-6x+9=-7+9\\ \\x^2-6x+9=2$

Step 3: Use perfect square formula:

$x^2-6x+9=(x-3)^2\\ \\(x-3)^2=2$

Step 4: Take square root:

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

Step 5: Simplify:

$x-3=\sqrt {2}\text{ or }x-3=-\sqrt{2}$

Step 6: Add 3:

$x=3+\sqrt{2}\text{ or }x=3-\sqrt{2}$