r^2-2r+61=0

Solution for r^2-2r+61=0 equation:

Simplifying
r2 + -2r + 61 = 0

Reorder the terms:
61 + -2r + r2 = 0

Solving
61 + -2r + r2 = 0

Solving for variable 'r'.

Begin completing the square.

Move the constant term to the right:

Add '-61' to each side of the equation.
61 + -2r + -61 + r2 = 0 + -61

Reorder the terms:
61 + -61 + -2r + r2 = 0 + -61

Combine like terms: 61 + -61 = 0
0 + -2r + r2 = 0 + -61
-2r + r2 = 0 + -61

Combine like terms: 0 + -61 = -61
-2r + r2 = -61

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

Add '1' to each side of the equation.
-2r + 1 + r2 = -61 + 1

Reorder the terms:
1 + -2r + r2 = -61 + 1

Combine like terms: -61 + 1 = -60
1 + -2r + r2 = -60

Factor a perfect square on the left side:
(r + -1)(r + -1) = -60

Can't calculate square root of the right side.

The solution to this equation could not be determined.