5.5x^2-10x+60=0

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Solution for 5.5x^2-10x+60=0 equation:


Simplifying
5.5x2 + -10x + 60 = 0

Reorder the terms:
60 + -10x + 5.5x2 = 0

Solving
60 + -10x + 5.5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5.5'.
10.90909091 + -1.818181818x + x2 = 0

Move the constant term to the right:

Add '-10.90909091' to each side of the equation.
10.90909091 + -1.818181818x + -10.90909091 + x2 = 0 + -10.90909091

Reorder the terms:
10.90909091 + -10.90909091 + -1.818181818x + x2 = 0 + -10.90909091

Combine like terms: 10.90909091 + -10.90909091 = 0.00000000
0.00000000 + -1.818181818x + x2 = 0 + -10.90909091
-1.818181818x + x2 = 0 + -10.90909091

Combine like terms: 0 + -10.90909091 = -10.90909091
-1.818181818x + x2 = -10.90909091

The x term is -1.818181818x.  Take half its coefficient (-0.909090909).
Square it (0.8264462808) and add it to both sides.

Add '0.8264462808' to each side of the equation.
-1.818181818x + 0.8264462808 + x2 = -10.90909091 + 0.8264462808

Reorder the terms:
0.8264462808 + -1.818181818x + x2 = -10.90909091 + 0.8264462808

Combine like terms: -10.90909091 + 0.8264462808 = -10.0826446292
0.8264462808 + -1.818181818x + x2 = -10.0826446292

Factor a perfect square on the left side:
(x + -0.909090909)(x + -0.909090909) = -10.0826446292

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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