4.9x^2-20x+100=0

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Solution for 4.9x^2-20x+100=0 equation:


Simplifying
4.9x2 + -20x + 100 = 0

Reorder the terms:
100 + -20x + 4.9x2 = 0

Solving
100 + -20x + 4.9x2 = 0

Solving for variable 'x'.

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

Divide each side by '4.9'.
20.40816327 + -4.081632653x + x2 = 0

Move the constant term to the right:

Add '-20.40816327' to each side of the equation.
20.40816327 + -4.081632653x + -20.40816327 + x2 = 0 + -20.40816327

Reorder the terms:
20.40816327 + -20.40816327 + -4.081632653x + x2 = 0 + -20.40816327

Combine like terms: 20.40816327 + -20.40816327 = 0.00000000
0.00000000 + -4.081632653x + x2 = 0 + -20.40816327
-4.081632653x + x2 = 0 + -20.40816327

Combine like terms: 0 + -20.40816327 = -20.40816327
-4.081632653x + x2 = -20.40816327

The x term is -4.081632653x.  Take half its coefficient (-2.040816327).
Square it (4.164931281) and add it to both sides.

Add '4.164931281' to each side of the equation.
-4.081632653x + 4.164931281 + x2 = -20.40816327 + 4.164931281

Reorder the terms:
4.164931281 + -4.081632653x + x2 = -20.40816327 + 4.164931281

Combine like terms: -20.40816327 + 4.164931281 = -16.243231989
4.164931281 + -4.081632653x + x2 = -16.243231989

Factor a perfect square on the left side:
(x + -2.040816327)(x + -2.040816327) = -16.243231989

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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