y^2-6y+34=0

Solution for y^2-6y+34=0 equation:

Simplifying
y2 + -6y + 34 = 0

Reorder the terms:
34 + -6y + y2 = 0

Solving
34 + -6y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-34' to each side of the equation.
34 + -6y + -34 + y2 = 0 + -34

Reorder the terms:
34 + -34 + -6y + y2 = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -6y + y2 = 0 + -34
-6y + y2 = 0 + -34

Combine like terms: 0 + -34 = -34
-6y + y2 = -34

The y term is -6y.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6y + 9 + y2 = -34 + 9

Reorder the terms:
9 + -6y + y2 = -34 + 9

Combine like terms: -34 + 9 = -25
9 + -6y + y2 = -25

Factor a perfect square on the left side:
(y + -3)(y + -3) = -25

Can't calculate square root of the right side.

The solution to this equation could not be determined.