97x^2-8x+1=0

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Solution for 97x^2-8x+1=0 equation: 


Simplifying
97x2 + -8x + 1 = 0

Reorder the terms:
1 + -8x + 97x2 = 0

Solving
1 + -8x + 97x2 = 0

Solving for variable 'x'.

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

Divide each side by '97'.
0.01030927835 + -0.0824742268x + x2 = 0

Move the constant term to the right:

Add '-0.01030927835' to each side of the equation.
0.01030927835 + -0.0824742268x + -0.01030927835 + x2 = 0 + -0.01030927835

Reorder the terms:
0.01030927835 + -0.01030927835 + -0.0824742268x + x2 = 0 + -0.01030927835

Combine like terms: 0.01030927835 + -0.01030927835 = 0.00000000000
0.00000000000 + -0.0824742268x + x2 = 0 + -0.01030927835
-0.0824742268x + x2 = 0 + -0.01030927835

Combine like terms: 0 + -0.01030927835 = -0.01030927835
-0.0824742268x + x2 = -0.01030927835

The x term is -0.0824742268x.  Take half its coefficient (-0.0412371134).
Square it (0.001700499522) and add it to both sides.

Add '0.001700499522' to each side of the equation.
-0.0824742268x + 0.001700499522 + x2 = -0.01030927835 + 0.001700499522

Reorder the terms:
0.001700499522 + -0.0824742268x + x2 = -0.01030927835 + 0.001700499522

Combine like terms: -0.01030927835 + 0.001700499522 = -0.008608778828
0.001700499522 + -0.0824742268x + x2 = -0.008608778828

Factor a perfect square on the left side:
(x + -0.0412371134)(x + -0.0412371134) = -0.008608778828

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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