x^2-13x+45=0

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Solution for x^2-13x+45=0 equation:


Simplifying
x2 + -13x + 45 = 0

Reorder the terms:
45 + -13x + x2 = 0

Solving
45 + -13x + 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 + -13x + -45 + x2 = 0 + -45

Reorder the terms:
45 + -45 + -13x + x2 = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -13x + x2 = 0 + -45
-13x + x2 = 0 + -45

Combine like terms: 0 + -45 = -45
-13x + x2 = -45

The x term is -13x.  Take half its coefficient (-6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
-13x + 42.25 + x2 = -45 + 42.25

Reorder the terms:
42.25 + -13x + x2 = -45 + 42.25

Combine like terms: -45 + 42.25 = -2.75
42.25 + -13x + x2 = -2.75

Factor a perfect square on the left side:
(x + -6.5)(x + -6.5) = -2.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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