61x^2-12x+1=0

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Solution for 61x^2-12x+1=0 equation: 


Simplifying
61x2 + -12x + 1 = 0

Reorder the terms:
1 + -12x + 61x2 = 0

Solving
1 + -12x + 61x2 = 0

Solving for variable 'x'.

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

Divide each side by '61'.
0.01639344262 + -0.1967213115x + x2 = 0

Move the constant term to the right:

Add '-0.01639344262' to each side of the equation.
0.01639344262 + -0.1967213115x + -0.01639344262 + x2 = 0 + -0.01639344262

Reorder the terms:
0.01639344262 + -0.01639344262 + -0.1967213115x + x2 = 0 + -0.01639344262

Combine like terms: 0.01639344262 + -0.01639344262 = 0.00000000000
0.00000000000 + -0.1967213115x + x2 = 0 + -0.01639344262
-0.1967213115x + x2 = 0 + -0.01639344262

Combine like terms: 0 + -0.01639344262 = -0.01639344262
-0.1967213115x + x2 = -0.01639344262

The x term is -0.1967213115x.  Take half its coefficient (-0.09836065575).
Square it (0.009674818600) and add it to both sides.

Add '0.009674818600' to each side of the equation.
-0.1967213115x + 0.009674818600 + x2 = -0.01639344262 + 0.009674818600

Reorder the terms:
0.009674818600 + -0.1967213115x + x2 = -0.01639344262 + 0.009674818600

Combine like terms: -0.01639344262 + 0.009674818600 = -0.00671862402
0.009674818600 + -0.1967213115x + x2 = -0.00671862402

Factor a perfect square on the left side:
(x + -0.09836065575)(x + -0.09836065575) = -0.00671862402

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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