3x^2-4.89898x+3=0

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Solution for 3x^2-4.89898x+3=0 equation:


Simplifying
3x2 + -4.89898x + 3 = 0

Reorder the terms:
3 + -4.89898x + 3x2 = 0

Solving
3 + -4.89898x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
1 + -1.632993333x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.632993333x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -1.632993333x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.632993333x + x2 = 0 + -1
-1.632993333x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.632993333x + x2 = -1

The x term is -1.632993333x.  Take half its coefficient (-0.8164966665).
Square it (0.6666668064) and add it to both sides.

Add '0.6666668064' to each side of the equation.
-1.632993333x + 0.6666668064 + x2 = -1 + 0.6666668064

Reorder the terms:
0.6666668064 + -1.632993333x + x2 = -1 + 0.6666668064

Combine like terms: -1 + 0.6666668064 = -0.3333331936
0.6666668064 + -1.632993333x + x2 = -0.3333331936

Factor a perfect square on the left side:
(x + -0.8164966665)(x + -0.8164966665) = -0.3333331936

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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