m^2-6m+13=0

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Solution for m^2-6m+13=0 equation:


Simplifying
m2 + -6m + 13 = 0

Reorder the terms:
13 + -6m + m2 = 0

Solving
13 + -6m + m2 = 0

Solving for variable 'm'.

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + -6m + -13 + m2 = 0 + -13

Reorder the terms:
13 + -13 + -6m + m2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -6m + m2 = 0 + -13
-6m + m2 = 0 + -13

Combine like terms: 0 + -13 = -13
-6m + m2 = -13

The m term is -6m.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6m + 9 + m2 = -13 + 9

Reorder the terms:
9 + -6m + m2 = -13 + 9

Combine like terms: -13 + 9 = -4
9 + -6m + m2 = -4

Factor a perfect square on the left side:
(m + -3)(m + -3) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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