Question

To solve the equation x ^2 - 2x = 3 by the technique of completing the square, you would add 4 to each side of the equation as one of the steps to reaching the solution.

Answer 1

Answer:

x = -1

x = 3

Step-by-step explanation:

$\sf x^2 - 2x = 3$

Add 1 to both sides:

$\sf \implies x^2 - 2x+1 = 3+1$

Factor the left side:

$\sf \implies (x-1)^2 = 4$

Square root both sides:

$\sf \implies x-1 = \pm2$

Therefore:

$\sf \implies x-1=-2 \implies x=-1$

$\sf \implies x-1=2 \implies x=3$