9x^2-5x+4=0

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Solution for 9x^2-5x+4=0 equation:


Simplifying
9x2 + -5x + 4 = 0

Reorder the terms:
4 + -5x + 9x2 = 0

Solving
4 + -5x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
0.4444444444 + -0.5555555556x + x2 = 0

Move the constant term to the right:

Add '-0.4444444444' to each side of the equation.
0.4444444444 + -0.5555555556x + -0.4444444444 + x2 = 0 + -0.4444444444

Reorder the terms:
0.4444444444 + -0.4444444444 + -0.5555555556x + x2 = 0 + -0.4444444444

Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000
0.0000000000 + -0.5555555556x + x2 = 0 + -0.4444444444
-0.5555555556x + x2 = 0 + -0.4444444444

Combine like terms: 0 + -0.4444444444 = -0.4444444444
-0.5555555556x + x2 = -0.4444444444

The x term is -0.5555555556x.  Take half its coefficient (-0.2777777778).
Square it (0.07716049384) and add it to both sides.

Add '0.07716049384' to each side of the equation.
-0.5555555556x + 0.07716049384 + x2 = -0.4444444444 + 0.07716049384

Reorder the terms:
0.07716049384 + -0.5555555556x + x2 = -0.4444444444 + 0.07716049384

Combine like terms: -0.4444444444 + 0.07716049384 = -0.36728395056
0.07716049384 + -0.5555555556x + x2 = -0.36728395056

Factor a perfect square on the left side:
(x + -0.2777777778)(x + -0.2777777778) = -0.36728395056

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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