z^2-10z+34=0

Solution for z^2-10z+34=0 equation:

Simplifying
z2 + -10z + 34 = 0

Reorder the terms:
34 + -10z + z2 = 0

Solving
34 + -10z + 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 + -10z + -34 + z2 = 0 + -34

Reorder the terms:
34 + -34 + -10z + z2 = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -10z + z2 = 0 + -34
-10z + z2 = 0 + -34

Combine like terms: 0 + -34 = -34
-10z + z2 = -34

The z term is -10z.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10z + 25 + z2 = -34 + 25

Reorder the terms:
25 + -10z + z2 = -34 + 25

Combine like terms: -34 + 25 = -9
25 + -10z + z2 = -9

Factor a perfect square on the left side:
(z + -5)(z + -5) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.