Question

Write x2 − 6x + 7 = 0 in the form (x − a)2 = b, where a and b are integers. (1 point)

Answer 1

X² - 6x + 7 = 0
x² - 6x = -7
x² - 6x + 9 = -7 + 9
(x-3)² = 2

Answer 2

Answer:

B. $(x-3)^2=2$.  

Step-by-step explanation:

We have been given an equation $x^2-6x+7=0$. We are asked to write our given expression in form $(x-a)^2=b$.

First of all, we will subtract 7 from both sides of our given equation.

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

$x^2-6x=-7$

Now, we will complete the square for left side of equation by adding the half the square of 6.

$(\frac{6}{2})^2=(3)^2=9$

Upon adding 9 on both sides of our equation, we will get:

$x^2-6x+9=-7+9$  

$(x-3)^2=2$  

Therefore, our required equation would be $(x-3)^2=2$ and option B is the correct choice.