X^2-11X+45=0

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Solution for X^2-11X+45=0 equation:


Simplifying
X2 + -11X + 45 = 0

Reorder the terms:
45 + -11X + X2 = 0

Solving
45 + -11X + X2 = 0

Solving for variable 'X'.

Begin completing the square.

Move the constant term to the right:

Add '-45' to each side of the equation.
45 + -11X + -45 + X2 = 0 + -45

Reorder the terms:
45 + -45 + -11X + X2 = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -11X + X2 = 0 + -45
-11X + X2 = 0 + -45

Combine like terms: 0 + -45 = -45
-11X + X2 = -45

The X term is -11X.  Take half its coefficient (-5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
-11X + 30.25 + X2 = -45 + 30.25

Reorder the terms:
30.25 + -11X + X2 = -45 + 30.25

Combine like terms: -45 + 30.25 = -14.75
30.25 + -11X + X2 = -14.75

Factor a perfect square on the left side:
(X + -5.5)(X + -5.5) = -14.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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