p^2-8p+17=0

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Solution for p^2-8p+17=0 equation:


Simplifying
p2 + -8p + 17 = 0

Reorder the terms:
17 + -8p + p2 = 0

Solving
17 + -8p + p2 = 0

Solving for variable 'p'.

Begin completing the square.

Move the constant term to the right:

Add '-17' to each side of the equation.
17 + -8p + -17 + p2 = 0 + -17

Reorder the terms:
17 + -17 + -8p + p2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -8p + p2 = 0 + -17
-8p + p2 = 0 + -17

Combine like terms: 0 + -17 = -17
-8p + p2 = -17

The p term is -8p.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8p + 16 + p2 = -17 + 16

Reorder the terms:
16 + -8p + p2 = -17 + 16

Combine like terms: -17 + 16 = -1
16 + -8p + p2 = -1

Factor a perfect square on the left side:
(p + -4)(p + -4) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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