11r^2-r+10=0

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Solution for 11r^2-r+10=0 equation:


Simplifying
11r2 + -1r + 10 = 0

Reorder the terms:
10 + -1r + 11r2 = 0

Solving
10 + -1r + 11r2 = 0

Solving for variable 'r'.

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

Divide each side by '11'.
0.9090909091 + -0.09090909091r + r2 = 0

Move the constant term to the right:

Add '-0.9090909091' to each side of the equation.
0.9090909091 + -0.09090909091r + -0.9090909091 + r2 = 0 + -0.9090909091

Reorder the terms:
0.9090909091 + -0.9090909091 + -0.09090909091r + r2 = 0 + -0.9090909091

Combine like terms: 0.9090909091 + -0.9090909091 = 0.0000000000
0.0000000000 + -0.09090909091r + r2 = 0 + -0.9090909091
-0.09090909091r + r2 = 0 + -0.9090909091

Combine like terms: 0 + -0.9090909091 = -0.9090909091
-0.09090909091r + r2 = -0.9090909091

The r term is -0.09090909091r.  Take half its coefficient (-0.04545454546).
Square it (0.002066115703) and add it to both sides.

Add '0.002066115703' to each side of the equation.
-0.09090909091r + 0.002066115703 + r2 = -0.9090909091 + 0.002066115703

Reorder the terms:
0.002066115703 + -0.09090909091r + r2 = -0.9090909091 + 0.002066115703

Combine like terms: -0.9090909091 + 0.002066115703 = -0.907024793397
0.002066115703 + -0.09090909091r + r2 = -0.907024793397

Factor a perfect square on the left side:
(r + -0.04545454546)(r + -0.04545454546) = -0.907024793397

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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