r^2-5r+16=0

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Solution for r^2-5r+16=0 equation: 


Simplifying
r2 + -5r + 16 = 0

Reorder the terms:
16 + -5r + r2 = 0

Solving
16 + -5r + r2 = 0

Solving for variable 'r'.

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + -5r + -16 + r2 = 0 + -16

Reorder the terms:
16 + -16 + -5r + r2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -5r + r2 = 0 + -16
-5r + r2 = 0 + -16

Combine like terms: 0 + -16 = -16
-5r + r2 = -16

The r term is -5r.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5r + 6.25 + r2 = -16 + 6.25

Reorder the terms:
6.25 + -5r + r2 = -16 + 6.25

Combine like terms: -16 + 6.25 = -9.75
6.25 + -5r + r2 = -9.75

Factor a perfect square on the left side:
(r + -2.5)(r + -2.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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