Question

Write x2 − 2x − 3 = 0 in the form (x − a)2 = b, where a and b are integers.

A.(x − 4)2 = 3

B.(x − 3)2 = 2

C.(x − 2)2 = 1

D.(x − 1)2 = 4

Answer 1

`x^2-2x-3=0\\\\x^2-2\cdot x\cdot1+1^2-1^2-3=0\\\\(x-1)^2-4=0\ \ \ \ |+4\\\\(x-1)^2=4`


Answer: D. (x - 1)² = 4.

Used:
(a - b)² = a² - 2ab + b²