Z^2-6Z+34=0

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

Simplifying
Z2 + -6Z + 34 = 0

Reorder the terms:
34 + -6Z + Z2 = 0

Solving
34 + -6Z + Z2 = 0

Solving for variable 'Z'.

Begin completing the square.

Move the constant term to the right:

Add '-34' to each side of the equation.
34 + -6Z + -34 + Z2 = 0 + -34

Reorder the terms:
34 + -34 + -6Z + Z2 = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -6Z + Z2 = 0 + -34
-6Z + Z2 = 0 + -34

Combine like terms: 0 + -34 = -34
-6Z + Z2 = -34

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

Add '9' to each side of the equation.
-6Z + 9 + Z2 = -34 + 9

Reorder the terms:
9 + -6Z + Z2 = -34 + 9

Combine like terms: -34 + 9 = -25
9 + -6Z + Z2 = -25

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.