Question

How do you solve the quadratic equation by completing the square: `p^2 + 12p = 13`?

Answer 1

I found:
`p_1=1`
`p_2=-13`

Explanation:

You can try by adding and subtracting `36` on the left to get:
`p^2+12pcolor(red)(+36-36)=13`
and rearranging:
`p^2+12p+36=13+36`
`(p+6)^2=49`
square root both sides:
`p+6=+-sqrt(49)=+-7`
so you get:
`p_1=-6+7=1`
`p_2=-6-7=-13`