x^2-9x+324=0

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Solution for x^2-9x+324=0 equation:


Simplifying
x2 + -9x + 324 = 0

Reorder the terms:
324 + -9x + x2 = 0

Solving
324 + -9x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-324' to each side of the equation.
324 + -9x + -324 + x2 = 0 + -324

Reorder the terms:
324 + -324 + -9x + x2 = 0 + -324

Combine like terms: 324 + -324 = 0
0 + -9x + x2 = 0 + -324
-9x + x2 = 0 + -324

Combine like terms: 0 + -324 = -324
-9x + x2 = -324

The x term is -9x.  Take half its coefficient (-4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
-9x + 20.25 + x2 = -324 + 20.25

Reorder the terms:
20.25 + -9x + x2 = -324 + 20.25

Combine like terms: -324 + 20.25 = -303.75
20.25 + -9x + x2 = -303.75

Factor a perfect square on the left side:
(x + -4.5)(x + -4.5) = -303.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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