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

x = -1

x = 3

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`