a^2-6a+18=0

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Solution for a^2-6a+18=0 equation:


Simplifying
a2 + -6a + 18 = 0

Reorder the terms:
18 + -6a + a2 = 0

Solving
18 + -6a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-18' to each side of the equation.
18 + -6a + -18 + a2 = 0 + -18

Reorder the terms:
18 + -18 + -6a + a2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -6a + a2 = 0 + -18
-6a + a2 = 0 + -18

Combine like terms: 0 + -18 = -18
-6a + a2 = -18

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

Add '9' to each side of the equation.
-6a + 9 + a2 = -18 + 9

Reorder the terms:
9 + -6a + a2 = -18 + 9

Combine like terms: -18 + 9 = -9
9 + -6a + a2 = -9

Factor a perfect square on the left side:
(a + -3)(a + -3) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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