r^2-r+43=0

Solution for r^2-r+43=0 equation:

Simplifying
r2 + -1r + 43 = 0

Reorder the terms:
43 + -1r + r2 = 0

Solving
43 + -1r + r2 = 0

Solving for variable 'r'.

Begin completing the square.

Move the constant term to the right:

Add '-43' to each side of the equation.
43 + -1r + -43 + r2 = 0 + -43

Reorder the terms:
43 + -43 + -1r + r2 = 0 + -43

Combine like terms: 43 + -43 = 0
0 + -1r + r2 = 0 + -43
-1r + r2 = 0 + -43

Combine like terms: 0 + -43 = -43
-1r + r2 = -43

The r term is -1r.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1r + 0.25 + r2 = -43 + 0.25

Reorder the terms:
0.25 + -1r + r2 = -43 + 0.25

Combine like terms: -43 + 0.25 = -42.75
0.25 + -1r + r2 = -42.75

Factor a perfect square on the left side:
(r + -0.5)(r + -0.5) = -42.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.