y^2-17y+82=0

Solution for y^2-17y+82=0 equation:

Simplifying
y2 + -17y + 82 = 0

Reorder the terms:
82 + -17y + y2 = 0

Solving
82 + -17y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-82' to each side of the equation.
82 + -17y + -82 + y2 = 0 + -82

Reorder the terms:
82 + -82 + -17y + y2 = 0 + -82

Combine like terms: 82 + -82 = 0
0 + -17y + y2 = 0 + -82
-17y + y2 = 0 + -82

Combine like terms: 0 + -82 = -82
-17y + y2 = -82

The y term is -17y.  Take half its coefficient (-8.5).
Square it (72.25) and add it to both sides.

Add '72.25' to each side of the equation.
-17y + 72.25 + y2 = -82 + 72.25

Reorder the terms:
72.25 + -17y + y2 = -82 + 72.25

Combine like terms: -82 + 72.25 = -9.75
72.25 + -17y + y2 = -9.75

Factor a perfect square on the left side:
(y + -8.5)(y + -8.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.