2R^2-2R+9=0

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

Simplifying
2R2 + -2R + 9 = 0

Reorder the terms:
9 + -2R + 2R2 = 0

Solving
9 + -2R + 2R2 = 0

Solving for variable 'R'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
4.5 + -1R + R2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + -1R + -4.5 + R2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + -1R + R2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -1R + R2 = 0 + -4.5
-1R + R2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
-1R + R2 = -4.5

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 = -4.5 + 0.25

Reorder the terms:
0.25 + -1R + R2 = -4.5 + 0.25

Combine like terms: -4.5 + 0.25 = -4.25
0.25 + -1R + R2 = -4.25

Factor a perfect square on the left side:
(R + -0.5)(R + -0.5) = -4.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.