Answer:
p = -5 ± √26
Step-by-step explanation:
p² + 10p = 1
To complete the square, start by making the leading coefficient 1 (it already is).
Next, take half of the b coefficient, square it, and add the result to both sides.
(10/2)² = 5² = 25
p² + 10p + 25 = 1 + 25
p² + 10p + 25 = 26
Factor:
(p + 5)² = 26
Solve:
p + 5 = ±√26
p = -5 ± √26
