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solve the equation p^2 + 10p = 1 by completing the square method. show your work.

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

astronomers is your final answer! : )