z^2-200*z+10004=0

Solution for z^2-200*z+10004=0 equation:

Simplifying
z2 + -200z + 10004 = 0

Reorder the terms:
10004 + -200z + z2 = 0

Solving
10004 + -200z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-10004' to each side of the equation.
10004 + -200z + -10004 + z2 = 0 + -10004

Reorder the terms:
10004 + -10004 + -200z + z2 = 0 + -10004

Combine like terms: 10004 + -10004 = 0
0 + -200z + z2 = 0 + -10004
-200z + z2 = 0 + -10004

Combine like terms: 0 + -10004 = -10004
-200z + z2 = -10004

The z term is -200z.  Take half its coefficient (-100).
Square it (10000) and add it to both sides.

Add '10000' to each side of the equation.
-200z + 10000 + z2 = -10004 + 10000

Reorder the terms:
10000 + -200z + z2 = -10004 + 10000

Combine like terms: -10004 + 10000 = -4
10000 + -200z + z2 = -4

Factor a perfect square on the left side:
(z + -100)(z + -100) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.