Question

Solve equation by completing the square.
1) p^2+14p+9=-5

Answer 1

transpose 9 first

p^2 + 14p + ___ = -14

to get the third term of the left hand side, divide the numerical coefficient of the second term by two then square the quotient so the third term is (14/2)^2 = 7^2 = 49

so
p^2 + 14p + 49 = -14 + 49

(p+7)^2 = 35

square root...

p + 7 = +/- sqrt 35

p = 7 +/- sqrt 35

Answer 2

so that would be it?

Answer 3

is there any way that it would be faster? or simple ?