Question

Rewrite x² - 6x + 7 = 0 in the form (x - a)² = b, where a and b are integers, to determine the a and b values. a = 4 ano Oa=3 and b=2 Oa= 2 and b= 1 O a = 1 and b=4​

Answer 1

We start by completing the square:

x² - 6x + 7 = 0

x² - 6x = -7

To complete the square, we need to add and subtract (6/2)² = 9 to the left side of the equation:

x² - 6x + 9 - 9 = -7

(x - 3)² - 9 = -7

(x - 3)² = 2

Now we have the equation in the desired form, where a = 3 and b = 2. So the answer is:

a = 3, b = 2