s^2-27s+729=0

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Solution for s^2-27s+729=0 equation:


Simplifying
s2 + -27s + 729 = 0

Reorder the terms:
729 + -27s + s2 = 0

Solving
729 + -27s + s2 = 0

Solving for variable 's'.

Begin completing the square.

Move the constant term to the right:

Add '-729' to each side of the equation.
729 + -27s + -729 + s2 = 0 + -729

Reorder the terms:
729 + -729 + -27s + s2 = 0 + -729

Combine like terms: 729 + -729 = 0
0 + -27s + s2 = 0 + -729
-27s + s2 = 0 + -729

Combine like terms: 0 + -729 = -729
-27s + s2 = -729

The s term is -27s.  Take half its coefficient (-13.5).
Square it (182.25) and add it to both sides.

Add '182.25' to each side of the equation.
-27s + 182.25 + s2 = -729 + 182.25

Reorder the terms:
182.25 + -27s + s2 = -729 + 182.25

Combine like terms: -729 + 182.25 = -546.75
182.25 + -27s + s2 = -546.75

Factor a perfect square on the left side:
(s + -13.5)(s + -13.5) = -546.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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