z^2-2z+9=0

Solution for z^2-2z+9=0 equation:

Simplifying
z2 + -2z + 9 = 0

Reorder the terms:
9 + -2z + z2 = 0

Solving
9 + -2z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + -2z + -9 + z2 = 0 + -9

Reorder the terms:
9 + -9 + -2z + z2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2z + z2 = 0 + -9
-2z + z2 = 0 + -9

Combine like terms: 0 + -9 = -9
-2z + z2 = -9

The z term is -2z.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2z + 1 + z2 = -9 + 1

Reorder the terms:
1 + -2z + z2 = -9 + 1

Combine like terms: -9 + 1 = -8
1 + -2z + z2 = -8

Factor a perfect square on the left side:
(z + -1)(z + -1) = -8

Can't calculate square root of the right side.

The solution to this equation could not be determined.