Add 38 to both sides of the equation.
p2+14p=38
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b.
(b/2) 2=(7)^2
Add the term to each side of the equation.
p^2+ 14p+(7)2=38+(7)2
Simplify the equation.
p^2 + 14p + 49 = 87
Factor the perfect trinomial square into (p+7)^2
(p+7)2=87
Solve the equation for p.
p = ± √87 − 7
Take the square root of each side of the equation to set up the solution for
p:
(p+7) 2 ⋅ 12 = ±√87
Remove the perfect root factor p + 7 under the radical to solve for p.
p + 7 = ±√87
Subtract
7
from both sides of the equation.
p = ±√87 − 7
Exact Form:
p = ±√87 − 7
Decimal Form:
p = 2.32737905
