4s-13=s^2

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Solution for 4s-13=s^2 equation:


Simplifying
4s + -13 = s2

Reorder the terms:
-13 + 4s = s2

Solving
-13 + 4s = s2

Solving for variable 's'.

Combine like terms: s2 + -1s2 = 0
-13 + 4s + -1s2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
13 + -4s + s2 = 0

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + -4s + -13 + s2 = 0 + -13

Reorder the terms:
13 + -13 + -4s + s2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -4s + s2 = 0 + -13
-4s + s2 = 0 + -13

Combine like terms: 0 + -13 = -13
-4s + s2 = -13

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 = -13 + 4

Reorder the terms:
4 + -4s + s2 = -13 + 4

Combine like terms: -13 + 4 = -9
4 + -4s + s2 = -9

Factor a perfect square on the left side:
(s + -2)(s + -2) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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