s^2-4s+45=0

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Solution for s^2-4s+45=0 equation:


Simplifying
s2 + -4s + 45 = 0

Reorder the terms:
45 + -4s + s2 = 0

Solving
45 + -4s + s2 = 0

Solving for variable 's'.

Begin completing the square.

Move the constant term to the right:

Add '-45' to each side of the equation.
45 + -4s + -45 + s2 = 0 + -45

Reorder the terms:
45 + -45 + -4s + s2 = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -4s + s2 = 0 + -45
-4s + s2 = 0 + -45

Combine like terms: 0 + -45 = -45
-4s + s2 = -45

The s term is -4s.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4s + 4 + s2 = -45 + 4

Reorder the terms:
4 + -4s + s2 = -45 + 4

Combine like terms: -45 + 4 = -41
4 + -4s + s2 = -41

Factor a perfect square on the left side:
(s + -2)(s + -2) = -41

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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